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Finding the Fourth Proportional to 47,662.90, 71,514.54 and 23,957.97

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Solution

The fourth proportional to 47,662.90, 71,514.54 and 23,957.97 is: 35,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.90 : 71,514.54 = 23,957.97 : x
  2. Step 2: Convert to fraction form
    47,662.90/71,514.54 = 23,957.97/x
  3. Step 3: Cross multiply
    47,662.90x = 71,514.54 × 23,957.97
  4. Step 4: Simplify right side
    47,662.90x = 1,713,343,203.88
  5. Step 5: Solve for x
    x = 1,713,343,203.88/47,662.90
  6. Step 6: Final answer
    x = 35,947.10

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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.