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Finding the Fourth Proportional to 102,892.43, 154,344.62 and 39,712.91

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Solution

The fourth proportional to 102,892.43, 154,344.62 and 39,712.91 is: 59,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,892.43 : 154,344.62 = 39,712.91 : x
  2. Step 2: Convert to fraction form
    102,892.43/154,344.62 = 39,712.91/x
  3. Step 3: Cross multiply
    102,892.43x = 154,344.62 × 39,712.91
  4. Step 4: Simplify right side
    102,892.43x = 6,129,473,330.60
  5. Step 5: Solve for x
    x = 6,129,473,330.60/102,892.43
  6. Step 6: Final answer
    x = 59,571.66

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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.