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Finding the Fourth Proportional to 47,855.48, 71,793.61 and 14,574.69

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Solution

The fourth proportional to 47,855.48, 71,793.61 and 14,574.69 is: 21,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855.48 : 71,793.61 = 14,574.69 : x
  2. Step 2: Convert to fraction form
    47,855.48/71,793.61 = 14,574.69/x
  3. Step 3: Cross multiply
    47,855.48x = 71,793.61 × 14,574.69
  4. Step 4: Simplify right side
    47,855.48x = 1,046,369,573.29
  5. Step 5: Solve for x
    x = 1,046,369,573.29/47,855.48
  6. Step 6: Final answer
    x = 21,865.20

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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.