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Finding the Fourth Proportional to 52,070.85, 71,856.92 and 28,197.32

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Solution

The fourth proportional to 52,070.85, 71,856.92 and 28,197.32 is: 38,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.85 : 71,856.92 = 28,197.32 : x
  2. Step 2: Convert to fraction form
    52,070.85/71,856.92 = 28,197.32/x
  3. Step 3: Cross multiply
    52,070.85x = 71,856.92 × 28,197.32
  4. Step 4: Simplify right side
    52,070.85x = 2,026,172,278.66
  5. Step 5: Solve for x
    x = 2,026,172,278.66/52,070.85
  6. Step 6: Final answer
    x = 38,911.83

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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.