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Finding the Fourth Proportional to 54,391.65, 81,585.43 and 14,947.74

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Solution

The fourth proportional to 54,391.65, 81,585.43 and 14,947.74 is: 22,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,391.65 : 81,585.43 = 14,947.74 : x
  2. Step 2: Convert to fraction form
    54,391.65/81,585.43 = 14,947.74/x
  3. Step 3: Cross multiply
    54,391.65x = 81,585.43 × 14,947.74
  4. Step 4: Simplify right side
    54,391.65x = 1,219,517,758.06
  5. Step 5: Solve for x
    x = 1,219,517,758.06/54,391.65
  6. Step 6: Final answer
    x = 22,421.05

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Why These Related Problems?

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