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Finding the Fourth Proportional to 71,354.31, 107,031.72 and 23,968.05

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Solution

The fourth proportional to 71,354.31, 107,031.72 and 23,968.05 is: 35,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354.31 : 107,031.72 = 23,968.05 : x
  2. Step 2: Convert to fraction form
    71,354.31/107,031.72 = 23,968.05/x
  3. Step 3: Cross multiply
    71,354.31x = 107,031.72 × 23,968.05
  4. Step 4: Simplify right side
    71,354.31x = 2,565,341,348.97
  5. Step 5: Solve for x
    x = 2,565,341,348.97/71,354.31
  6. Step 6: Final answer
    x = 35,952.16

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1.5x scale

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.