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Finding the Fourth Proportional to 30,985.74, 42,753.24 and 17,553.92

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Solution

The fourth proportional to 30,985.74, 42,753.24 and 17,553.92 is: 24,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.74 : 42,753.24 = 17,553.92 : x
  2. Step 2: Convert to fraction form
    30,985.74/42,753.24 = 17,553.92/x
  3. Step 3: Cross multiply
    30,985.74x = 42,753.24 × 17,553.92
  4. Step 4: Simplify right side
    30,985.74x = 750,486,740.93
  5. Step 5: Solve for x
    x = 750,486,740.93/30,985.74
  6. Step 6: Final answer
    x = 24,220.39

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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.