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Finding the Fourth Proportional to 83,359.84, 115,044.24 and 47,561.44

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Solution

The fourth proportional to 83,359.84, 115,044.24 and 47,561.44 is: 65,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,359.84 : 115,044.24 = 47,561.44 : x
  2. Step 2: Convert to fraction form
    83,359.84/115,044.24 = 47,561.44/x
  3. Step 3: Cross multiply
    83,359.84x = 115,044.24 × 47,561.44
  4. Step 4: Simplify right side
    83,359.84x = 5,471,669,718.11
  5. Step 5: Solve for x
    x = 5,471,669,718.11/83,359.84
  6. Step 6: Final answer
    x = 65,639.16

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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.