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Finding the Fourth Proportional to 29,539.68, 40,769.10 and 17,610

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Solution

The fourth proportional to 29,539.68, 40,769.10 and 17,610 is: 24,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,539.68 : 40,769.10 = 17,610 : x
  2. Step 2: Convert to fraction form
    29,539.68/40,769.10 = 17,610/x
  3. Step 3: Cross multiply
    29,539.68x = 40,769.10 × 17,610
  4. Step 4: Simplify right side
    29,539.68x = 717,943,851
  5. Step 5: Solve for x
    x = 717,943,851/29,539.68
  6. Step 6: Final answer
    x = 24,304.39

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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.