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Finding the Fourth Proportional to 83,752.66, 115,583.10 and 47,461.15

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Solution

The fourth proportional to 83,752.66, 115,583.10 and 47,461.15 is: 65,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,752.66 : 115,583.10 = 47,461.15 : x
  2. Step 2: Convert to fraction form
    83,752.66/115,583.10 = 47,461.15/x
  3. Step 3: Cross multiply
    83,752.66x = 115,583.10 × 47,461.15
  4. Step 4: Simplify right side
    83,752.66x = 5,485,706,846.57
  5. Step 5: Solve for x
    x = 5,485,706,846.57/83,752.66
  6. Step 6: Final answer
    x = 65,498.90

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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.