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Finding the Fourth Proportional to 83,887.64, 115,763.47 and 45,645.90

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Solution

The fourth proportional to 83,887.64, 115,763.47 and 45,645.90 is: 62,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,887.64 : 115,763.47 = 45,645.90 : x
  2. Step 2: Convert to fraction form
    83,887.64/115,763.47 = 45,645.90/x
  3. Step 3: Cross multiply
    83,887.64x = 115,763.47 × 45,645.90
  4. Step 4: Simplify right side
    83,887.64x = 5,284,127,775.27
  5. Step 5: Solve for x
    x = 5,284,127,775.27/83,887.64
  6. Step 6: Final answer
    x = 62,990.54

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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.