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Finding the Fourth Proportional to 47,971.64, 71,957.64 and 14,691.58

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Solution

The fourth proportional to 47,971.64, 71,957.64 and 14,691.58 is: 22,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,971.64 : 71,957.64 = 14,691.58 : x
  2. Step 2: Convert to fraction form
    47,971.64/71,957.64 = 14,691.58/x
  3. Step 3: Cross multiply
    47,971.64x = 71,957.64 × 14,691.58
  4. Step 4: Simplify right side
    47,971.64x = 1,057,171,299.87
  5. Step 5: Solve for x
    x = 1,057,171,299.87/47,971.64
  6. Step 6: Final answer
    x = 22,037.42

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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.