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Finding the Fourth Proportional to 70,459.38, 97,230.87 and 42,180.66

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Solution

The fourth proportional to 70,459.38, 97,230.87 and 42,180.66 is: 58,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,459.38 : 97,230.87 = 42,180.66 : x
  2. Step 2: Convert to fraction form
    70,459.38/97,230.87 = 42,180.66/x
  3. Step 3: Cross multiply
    70,459.38x = 97,230.87 × 42,180.66
  4. Step 4: Simplify right side
    70,459.38x = 4,101,262,268.97
  5. Step 5: Solve for x
    x = 4,101,262,268.97/70,459.38
  6. Step 6: Final answer
    x = 58,207.47

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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.