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Finding the Fourth Proportional to 102,402.40, 153,608.40 and 32,287.12

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Solution

The fourth proportional to 102,402.40, 153,608.40 and 32,287.12 is: 48,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402.40 : 153,608.40 = 32,287.12 : x
  2. Step 2: Convert to fraction form
    102,402.40/153,608.40 = 32,287.12/x
  3. Step 3: Cross multiply
    102,402.40x = 153,608.40 × 32,287.12
  4. Step 4: Simplify right side
    102,402.40x = 4,959,572,843.81
  5. Step 5: Solve for x
    x = 4,959,572,843.81/102,402.40
  6. Step 6: Final answer
    x = 48,432.19

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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.