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Finding the Fourth Proportional to 70,410.38, 97,166.34 and 42,122.75

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Solution

The fourth proportional to 70,410.38, 97,166.34 and 42,122.75 is: 58,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,410.38 : 97,166.34 = 42,122.75 : x
  2. Step 2: Convert to fraction form
    70,410.38/97,166.34 = 42,122.75/x
  3. Step 3: Cross multiply
    70,410.38x = 97,166.34 × 42,122.75
  4. Step 4: Simplify right side
    70,410.38x = 4,092,912,962.40
  5. Step 5: Solve for x
    x = 4,092,912,962.40/70,410.38
  6. Step 6: Final answer
    x = 58,129.40

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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.