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Finding the Fourth Proportional to 71,404.16, 107,031.96 and 23,984.06

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Solution

The fourth proportional to 71,404.16, 107,031.96 and 23,984.06 is: 35,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,404.16 : 107,031.96 = 23,984.06 : x
  2. Step 2: Convert to fraction form
    71,404.16/107,031.96 = 23,984.06/x
  3. Step 3: Cross multiply
    71,404.16x = 107,031.96 × 23,984.06
  4. Step 4: Simplify right side
    71,404.16x = 2,567,060,415.40
  5. Step 5: Solve for x
    x = 2,567,060,415.40/71,404.16
  6. Step 6: Final answer
    x = 35,951.13

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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.