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Finding the Fourth Proportional to 47,737.06, 65,868.45 and 27,586.55

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Solution

The fourth proportional to 47,737.06, 65,868.45 and 27,586.55 is: 38,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,737.06 : 65,868.45 = 27,586.55 : x
  2. Step 2: Convert to fraction form
    47,737.06/65,868.45 = 27,586.55/x
  3. Step 3: Cross multiply
    47,737.06x = 65,868.45 × 27,586.55
  4. Step 4: Simplify right side
    47,737.06x = 1,817,083,289.35
  5. Step 5: Solve for x
    x = 1,817,083,289.35/47,737.06
  6. Step 6: Final answer
    x = 38,064.42

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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.