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Finding the Fourth Proportional to 70,854.38, 106,174.44 and 42,743.19

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Solution

The fourth proportional to 70,854.38, 106,174.44 and 42,743.19 is: 64,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.38 : 106,174.44 = 42,743.19 : x
  2. Step 2: Convert to fraction form
    70,854.38/106,174.44 = 42,743.19/x
  3. Step 3: Cross multiply
    70,854.38x = 106,174.44 × 42,743.19
  4. Step 4: Simplify right side
    70,854.38x = 4,538,234,262.06
  5. Step 5: Solve for x
    x = 4,538,234,262.06/70,854.38
  6. Step 6: Final answer
    x = 64,050.16

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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.