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Finding the Fourth Proportional to 82,568.76, 113,947.56 and 46,758

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Solution

The fourth proportional to 82,568.76, 113,947.56 and 46,758 is: 64,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,568.76 : 113,947.56 = 46,758 : x
  2. Step 2: Convert to fraction form
    82,568.76/113,947.56 = 46,758/x
  3. Step 3: Cross multiply
    82,568.76x = 113,947.56 × 46,758
  4. Step 4: Simplify right side
    82,568.76x = 5,327,960,010.48
  5. Step 5: Solve for x
    x = 5,327,960,010.48/82,568.76
  6. Step 6: Final answer
    x = 64,527.55

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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.