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Finding the Fourth Proportional to 47,714.67, 71,461.24 and 46,053.97

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Solution

The fourth proportional to 47,714.67, 71,461.24 and 46,053.97 is: 68,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.67 : 71,461.24 = 46,053.97 : x
  2. Step 2: Convert to fraction form
    47,714.67/71,461.24 = 46,053.97/x
  3. Step 3: Cross multiply
    47,714.67x = 71,461.24 × 46,053.97
  4. Step 4: Simplify right side
    47,714.67x = 3,291,073,509.33
  5. Step 5: Solve for x
    x = 3,291,073,509.33/47,714.67
  6. Step 6: Final answer
    x = 68,974.04

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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.