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Finding the Fourth Proportional to 82,206.50, 113,433.62 and 45,903.51

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Solution

The fourth proportional to 82,206.50, 113,433.62 and 45,903.51 is: 63,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.50 : 113,433.62 = 45,903.51 : x
  2. Step 2: Convert to fraction form
    82,206.50/113,433.62 = 45,903.51/x
  3. Step 3: Cross multiply
    82,206.50x = 113,433.62 × 45,903.51
  4. Step 4: Simplify right side
    82,206.50x = 5,207,001,080.49
  5. Step 5: Solve for x
    x = 5,207,001,080.49/82,206.50
  6. Step 6: Final answer
    x = 63,340.51

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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.