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Finding the Fourth Proportional to 38,165.27, 52,657.31 and 24,737.09

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Solution

The fourth proportional to 38,165.27, 52,657.31 and 24,737.09 is: 34,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,165.27 : 52,657.31 = 24,737.09 : x
  2. Step 2: Convert to fraction form
    38,165.27/52,657.31 = 24,737.09/x
  3. Step 3: Cross multiply
    38,165.27x = 52,657.31 × 24,737.09
  4. Step 4: Simplify right side
    38,165.27x = 1,302,588,492.94
  5. Step 5: Solve for x
    x = 1,302,588,492.94/38,165.27
  6. Step 6: Final answer
    x = 34,130.21

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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.