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Finding the Fourth Proportional to 82,433.98, 113,722.76 and 48,427.12

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Solution

The fourth proportional to 82,433.98, 113,722.76 and 48,427.12 is: 66,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.98 : 113,722.76 = 48,427.12 : x
  2. Step 2: Convert to fraction form
    82,433.98/113,722.76 = 48,427.12/x
  3. Step 3: Cross multiply
    82,433.98x = 113,722.76 × 48,427.12
  4. Step 4: Simplify right side
    82,433.98x = 5,507,264,934.50
  5. Step 5: Solve for x
    x = 5,507,264,934.50/82,433.98
  6. Step 6: Final answer
    x = 66,808.19

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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.