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Finding the Fourth Proportional to 83,009.25, 114,553.17 and 45,283.50

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Solution

The fourth proportional to 83,009.25, 114,553.17 and 45,283.50 is: 62,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.25 : 114,553.17 = 45,283.50 : x
  2. Step 2: Convert to fraction form
    83,009.25/114,553.17 = 45,283.50/x
  3. Step 3: Cross multiply
    83,009.25x = 114,553.17 × 45,283.50
  4. Step 4: Simplify right side
    83,009.25x = 5,187,368,473.70
  5. Step 5: Solve for x
    x = 5,187,368,473.70/83,009.25
  6. Step 6: Final answer
    x = 62,491.45

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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.