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Finding the Fourth Proportional to 70,031.55, 96,643.38 and 38,200.45

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Solution

The fourth proportional to 70,031.55, 96,643.38 and 38,200.45 is: 52,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.55 : 96,643.38 = 38,200.45 : x
  2. Step 2: Convert to fraction form
    70,031.55/96,643.38 = 38,200.45/x
  3. Step 3: Cross multiply
    70,031.55x = 96,643.38 × 38,200.45
  4. Step 4: Simplify right side
    70,031.55x = 3,691,820,363.91
  5. Step 5: Solve for x
    x = 3,691,820,363.91/70,031.55
  6. Step 6: Final answer
    x = 52,716.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.