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Finding the Fourth Proportional to 83,695.52, 125,228.52 and 49,837.28

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Solution

The fourth proportional to 83,695.52, 125,228.52 and 49,837.28 is: 74,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,695.52 : 125,228.52 = 49,837.28 : x
  2. Step 2: Convert to fraction form
    83,695.52/125,228.52 = 49,837.28/x
  3. Step 3: Cross multiply
    83,695.52x = 125,228.52 × 49,837.28
  4. Step 4: Simplify right side
    83,695.52x = 6,241,048,815.23
  5. Step 5: Solve for x
    x = 6,241,048,815.23/83,695.52
  6. Step 6: Final answer
    x = 74,568.49

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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.