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Finding the Fourth Proportional to 29,702.86, 40,987.92 and 17,442.30

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Solution

The fourth proportional to 29,702.86, 40,987.92 and 17,442.30 is: 24,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.86 : 40,987.92 = 17,442.30 : x
  2. Step 2: Convert to fraction form
    29,702.86/40,987.92 = 17,442.30/x
  3. Step 3: Cross multiply
    29,702.86x = 40,987.92 × 17,442.30
  4. Step 4: Simplify right side
    29,702.86x = 714,923,597.02
  5. Step 5: Solve for x
    x = 714,923,597.02/29,702.86
  6. Step 6: Final answer
    x = 24,069.18

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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.