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Finding the Fourth Proportional to 83,750, 115,575.06 and 46,024.52

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Solution

The fourth proportional to 83,750, 115,575.06 and 46,024.52 is: 63,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,750 : 115,575.06 = 46,024.52 : x
  2. Step 2: Convert to fraction form
    83,750/115,575.06 = 46,024.52/x
  3. Step 3: Cross multiply
    83,750x = 115,575.06 × 46,024.52
  4. Step 4: Simplify right side
    83,750x = 5,319,286,660.47
  5. Step 5: Solve for x
    x = 5,319,286,660.47/83,750
  6. Step 6: Final answer
    x = 63,513.87

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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.