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Finding the Fourth Proportional to 47,747.04, 71,566.56 and 24,324

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Solution

The fourth proportional to 47,747.04, 71,566.56 and 24,324 is: 36,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,747.04 : 71,566.56 = 24,324 : x
  2. Step 2: Convert to fraction form
    47,747.04/71,566.56 = 24,324/x
  3. Step 3: Cross multiply
    47,747.04x = 71,566.56 × 24,324
  4. Step 4: Simplify right side
    47,747.04x = 1,740,785,005.44
  5. Step 5: Solve for x
    x = 1,740,785,005.44/47,747.04
  6. Step 6: Final answer
    x = 36,458.49

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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.