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Finding the Fourth Proportional to 83,391.50, 115,080.32 and 45,151.38

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Solution

The fourth proportional to 83,391.50, 115,080.32 and 45,151.38 is: 62,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,391.50 : 115,080.32 = 45,151.38 : x
  2. Step 2: Convert to fraction form
    83,391.50/115,080.32 = 45,151.38/x
  3. Step 3: Cross multiply
    83,391.50x = 115,080.32 × 45,151.38
  4. Step 4: Simplify right side
    83,391.50x = 5,196,035,258.84
  5. Step 5: Solve for x
    x = 5,196,035,258.84/83,391.50
  6. Step 6: Final answer
    x = 62,308.93

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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.