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Finding the Fourth Proportional to 83,686.50, 115,488.18 and 45,961.56

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Solution

The fourth proportional to 83,686.50, 115,488.18 and 45,961.56 is: 63,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,686.50 : 115,488.18 = 45,961.56 : x
  2. Step 2: Convert to fraction form
    83,686.50/115,488.18 = 45,961.56/x
  3. Step 3: Cross multiply
    83,686.50x = 115,488.18 × 45,961.56
  4. Step 4: Simplify right side
    83,686.50x = 5,308,016,914.36
  5. Step 5: Solve for x
    x = 5,308,016,914.36/83,686.50
  6. Step 6: Final answer
    x = 63,427.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.