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Finding the Fourth Proportional to 70,614.34, 97,447.39 and 38,349.61

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Solution

The fourth proportional to 70,614.34, 97,447.39 and 38,349.61 is: 52,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614.34 : 97,447.39 = 38,349.61 : x
  2. Step 2: Convert to fraction form
    70,614.34/97,447.39 = 38,349.61/x
  3. Step 3: Cross multiply
    70,614.34x = 97,447.39 × 38,349.61
  4. Step 4: Simplify right side
    70,614.34x = 3,737,069,402.02
  5. Step 5: Solve for x
    x = 3,737,069,402.02/70,614.34
  6. Step 6: Final answer
    x = 52,922.25

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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.