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Finding the Fourth Proportional to 83,449.51, 115,160.38 and 49,474.76

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Solution

The fourth proportional to 83,449.51, 115,160.38 and 49,474.76 is: 68,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,449.51 : 115,160.38 = 49,474.76 : x
  2. Step 2: Convert to fraction form
    83,449.51/115,160.38 = 49,474.76/x
  3. Step 3: Cross multiply
    83,449.51x = 115,160.38 × 49,474.76
  4. Step 4: Simplify right side
    83,449.51x = 5,697,531,462.52
  5. Step 5: Solve for x
    x = 5,697,531,462.52/83,449.51
  6. Step 6: Final answer
    x = 68,275.20

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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.