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Finding the Fourth Proportional to 82,399,605.03, 113,659,731.68 and 48,885,356.57

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Solution

The fourth proportional to 82,399,605.03, 113,659,731.68 and 48,885,356.57 is: 67,431,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,399,605.03 : 113,659,731.68 = 48,885,356.57 : x
  2. Step 2: Convert to fraction form
    82,399,605.03/113,659,731.68 = 48,885,356.57/x
  3. Step 3: Cross multiply
    82,399,605.03x = 113,659,731.68 × 48,885,356.57
  4. Step 4: Simplify right side
    82,399,605.03x = 5,556,296,510,014,599
  5. Step 5: Solve for x
    x = 5,556,296,510,014,599/82,399,605.03
  6. Step 6: Final answer
    x = 67,431,106.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.