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Finding the Fourth Proportional to 52,057.60, 71,960.55 and 46,447.95

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Solution

The fourth proportional to 52,057.60, 71,960.55 and 46,447.95 is: 64,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.60 : 71,960.55 = 46,447.95 : x
  2. Step 2: Convert to fraction form
    52,057.60/71,960.55 = 46,447.95/x
  3. Step 3: Cross multiply
    52,057.60x = 71,960.55 × 46,447.95
  4. Step 4: Simplify right side
    52,057.60x = 3,342,419,668.57
  5. Step 5: Solve for x
    x = 3,342,419,668.57/52,057.60
  6. Step 6: Final answer
    x = 64,206.18

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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.