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Finding the Fourth Proportional to 54,958.75, 75,843.08 and 31,084.91

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Solution

The fourth proportional to 54,958.75, 75,843.08 and 31,084.91 is: 42,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,958.75 : 75,843.08 = 31,084.91 : x
  2. Step 2: Convert to fraction form
    54,958.75/75,843.08 = 31,084.91/x
  3. Step 3: Cross multiply
    54,958.75x = 75,843.08 × 31,084.91
  4. Step 4: Simplify right side
    54,958.75x = 2,357,575,315.92
  5. Step 5: Solve for x
    x = 2,357,575,315.92/54,958.75
  6. Step 6: Final answer
    x = 42,897.18

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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.