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Finding the Fourth Proportional to 57,031, 78,737.34 and 37,193.56

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Solution

The fourth proportional to 57,031, 78,737.34 and 37,193.56 is: 51,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,031 : 78,737.34 = 37,193.56 : x
  2. Step 2: Convert to fraction form
    57,031/78,737.34 = 37,193.56/x
  3. Step 3: Cross multiply
    57,031x = 78,737.34 × 37,193.56
  4. Step 4: Simplify right side
    57,031x = 2,928,521,979.53
  5. Step 5: Solve for x
    x = 2,928,521,979.53/57,031
  6. Step 6: Final answer
    x = 51,349.65

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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.