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Finding the Fourth Proportional to 29,068.48, 40,102.32 and 17,884

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Solution

The fourth proportional to 29,068.48, 40,102.32 and 17,884 is: 24,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,068.48 : 40,102.32 = 17,884 : x
  2. Step 2: Convert to fraction form
    29,068.48/40,102.32 = 17,884/x
  3. Step 3: Cross multiply
    29,068.48x = 40,102.32 × 17,884
  4. Step 4: Simplify right side
    29,068.48x = 717,189,890.88
  5. Step 5: Solve for x
    x = 717,189,890.88/29,068.48
  6. Step 6: Final answer
    x = 24,672.42

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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.