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Finding the Fourth Proportional to 47,737.81, 65,869.49 and 27,587.30

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Solution

The fourth proportional to 47,737.81, 65,869.49 and 27,587.30 is: 38,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,737.81 : 65,869.49 = 27,587.30 : x
  2. Step 2: Convert to fraction form
    47,737.81/65,869.49 = 27,587.30/x
  3. Step 3: Cross multiply
    47,737.81x = 65,869.49 × 27,587.30
  4. Step 4: Simplify right side
    47,737.81x = 1,817,161,243.54
  5. Step 5: Solve for x
    x = 1,817,161,243.54/47,737.81
  6. Step 6: Final answer
    x = 38,065.45

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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.