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Finding the Fourth Proportional to 47,785.65, 71,687.55 and 15,766.65

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Solution

The fourth proportional to 47,785.65, 71,687.55 and 15,766.65 is: 23,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,785.65 : 71,687.55 = 15,766.65 : x
  2. Step 2: Convert to fraction form
    47,785.65/71,687.55 = 15,766.65/x
  3. Step 3: Cross multiply
    47,785.65x = 71,687.55 × 15,766.65
  4. Step 4: Simplify right side
    47,785.65x = 1,130,272,510.21
  5. Step 5: Solve for x
    x = 1,130,272,510.21/47,785.65
  6. Step 6: Final answer
    x = 23,652.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.