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Finding the Fourth Proportional to 32,024.17, 44,193.40 and 17,877

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Solution

The fourth proportional to 32,024.17, 44,193.40 and 17,877 is: 24,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.17 : 44,193.40 = 17,877 : x
  2. Step 2: Convert to fraction form
    32,024.17/44,193.40 = 17,877/x
  3. Step 3: Cross multiply
    32,024.17x = 44,193.40 × 17,877
  4. Step 4: Simplify right side
    32,024.17x = 790,045,367.11
  5. Step 5: Solve for x
    x = 790,045,367.11/32,024.17
  6. Step 6: Final answer
    x = 24,670.29

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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.