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Finding the Fourth Proportional to 31,134.70, 42,965.40 and 16,987.24

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Solution

The fourth proportional to 31,134.70, 42,965.40 and 16,987.24 is: 23,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.70 : 42,965.40 = 16,987.24 : x
  2. Step 2: Convert to fraction form
    31,134.70/42,965.40 = 16,987.24/x
  3. Step 3: Cross multiply
    31,134.70x = 42,965.40 × 16,987.24
  4. Step 4: Simplify right side
    31,134.70x = 729,863,561.50
  5. Step 5: Solve for x
    x = 729,863,561.50/31,134.70
  6. Step 6: Final answer
    x = 23,442.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.