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Finding the Fourth Proportional to 71,435.86, 98,513.10 and 42,750.64

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Solution

The fourth proportional to 71,435.86, 98,513.10 and 42,750.64 is: 58,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.86 : 98,513.10 = 42,750.64 : x
  2. Step 2: Convert to fraction form
    71,435.86/98,513.10 = 42,750.64/x
  3. Step 3: Cross multiply
    71,435.86x = 98,513.10 × 42,750.64
  4. Step 4: Simplify right side
    71,435.86x = 4,211,498,073.38
  5. Step 5: Solve for x
    x = 4,211,498,073.38/71,435.86
  6. Step 6: Final answer
    x = 58,954.96

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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.