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Finding the Fourth Proportional to 83,309.78, 114,966.90 and 45,584.03

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Solution

The fourth proportional to 83,309.78, 114,966.90 and 45,584.03 is: 62,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309.78 : 114,966.90 = 45,584.03 : x
  2. Step 2: Convert to fraction form
    83,309.78/114,966.90 = 45,584.03/x
  3. Step 3: Cross multiply
    83,309.78x = 114,966.90 × 45,584.03
  4. Step 4: Simplify right side
    83,309.78x = 5,240,654,618.61
  5. Step 5: Solve for x
    x = 5,240,654,618.61/83,309.78
  6. Step 6: Final answer
    x = 62,905.64

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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.