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Finding the Fourth Proportional to 82,402.40, 123,652.20 and 54,403.40

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Solution

The fourth proportional to 82,402.40, 123,652.20 and 54,403.40 is: 81,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,402.40 : 123,652.20 = 54,403.40 : x
  2. Step 2: Convert to fraction form
    82,402.40/123,652.20 = 54,403.40/x
  3. Step 3: Cross multiply
    82,402.40x = 123,652.20 × 54,403.40
  4. Step 4: Simplify right side
    82,402.40x = 6,727,100,097.48
  5. Step 5: Solve for x
    x = 6,727,100,097.48/82,402.40
  6. Step 6: Final answer
    x = 81,637.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.