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Finding the Fourth Proportional to 71,675.16, 107,377.87 and 42,004.86

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Solution

The fourth proportional to 71,675.16, 107,377.87 and 42,004.86 is: 62,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675.16 : 107,377.87 = 42,004.86 : x
  2. Step 2: Convert to fraction form
    71,675.16/107,377.87 = 42,004.86/x
  3. Step 3: Cross multiply
    71,675.16x = 107,377.87 × 42,004.86
  4. Step 4: Simplify right side
    71,675.16x = 4,510,392,396.45
  5. Step 5: Solve for x
    x = 4,510,392,396.45/71,675.16
  6. Step 6: Final answer
    x = 62,928.25

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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.