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Finding the Fourth Proportional to 83,171.95, 114,777.28 and 45,446.20

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Solution

The fourth proportional to 83,171.95, 114,777.28 and 45,446.20 is: 62,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.95 : 114,777.28 = 45,446.20 : x
  2. Step 2: Convert to fraction form
    83,171.95/114,777.28 = 45,446.20/x
  3. Step 3: Cross multiply
    83,171.95x = 114,777.28 × 45,446.20
  4. Step 4: Simplify right side
    83,171.95x = 5,216,191,222.34
  5. Step 5: Solve for x
    x = 5,216,191,222.34/83,171.95
  6. Step 6: Final answer
    x = 62,715.75

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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.