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Finding the Fourth Proportional to 83,618.83, 115,394.06 and 45,378.38

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Solution

The fourth proportional to 83,618.83, 115,394.06 and 45,378.38 is: 62,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,618.83 : 115,394.06 = 45,378.38 : x
  2. Step 2: Convert to fraction form
    83,618.83/115,394.06 = 45,378.38/x
  3. Step 3: Cross multiply
    83,618.83x = 115,394.06 × 45,378.38
  4. Step 4: Simplify right side
    83,618.83x = 5,236,395,002.01
  5. Step 5: Solve for x
    x = 5,236,395,002.01/83,618.83
  6. Step 6: Final answer
    x = 62,622.20

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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.