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Finding the Fourth Proportional to 54,897.50, 75,758.64 and 29,747

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Solution

The fourth proportional to 54,897.50, 75,758.64 and 29,747 is: 41,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897.50 : 75,758.64 = 29,747 : x
  2. Step 2: Convert to fraction form
    54,897.50/75,758.64 = 29,747/x
  3. Step 3: Cross multiply
    54,897.50x = 75,758.64 × 29,747
  4. Step 4: Simplify right side
    54,897.50x = 2,253,592,264.08
  5. Step 5: Solve for x
    x = 2,253,592,264.08/54,897.50
  6. Step 6: Final answer
    x = 41,050.91

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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.