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Finding the Fourth Proportional to 83,385.66, 115,072.24 and 45,145.20

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Solution

The fourth proportional to 83,385.66, 115,072.24 and 45,145.20 is: 62,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,385.66 : 115,072.24 = 45,145.20 : x
  2. Step 2: Convert to fraction form
    83,385.66/115,072.24 = 45,145.20/x
  3. Step 3: Cross multiply
    83,385.66x = 115,072.24 × 45,145.20
  4. Step 4: Simplify right side
    83,385.66x = 5,194,959,063.52
  5. Step 5: Solve for x
    x = 5,194,959,063.52/83,385.66
  6. Step 6: Final answer
    x = 62,300.39

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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.