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Finding the Fourth Proportional to 55,666, 83,360.48 and 38,947.76

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Solution

The fourth proportional to 55,666, 83,360.48 and 38,947.76 is: 58,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,666 : 83,360.48 = 38,947.76 : x
  2. Step 2: Convert to fraction form
    55,666/83,360.48 = 38,947.76/x
  3. Step 3: Cross multiply
    55,666x = 83,360.48 × 38,947.76
  4. Step 4: Simplify right side
    55,666x = 3,246,703,968.52
  5. Step 5: Solve for x
    x = 3,246,703,968.52/55,666
  6. Step 6: Final answer
    x = 58,324.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.