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Finding the Fourth Proportional to 54,963.50, 75,846.92 and 31,089.65

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Solution

The fourth proportional to 54,963.50, 75,846.92 and 31,089.65 is: 42,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,963.50 : 75,846.92 = 31,089.65 : x
  2. Step 2: Convert to fraction form
    54,963.50/75,846.92 = 31,089.65/x
  3. Step 3: Cross multiply
    54,963.50x = 75,846.92 × 31,089.65
  4. Step 4: Simplify right side
    54,963.50x = 2,358,053,661.70
  5. Step 5: Solve for x
    x = 2,358,053,661.70/54,963.50
  6. Step 6: Final answer
    x = 42,902.18

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1.5x scale

Why These Related Problems?

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