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Finding the Fourth Proportional to 67,314.24, 100,972.80 and 37,658.40

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Solution

The fourth proportional to 67,314.24, 100,972.80 and 37,658.40 is: 56,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,314.24 : 100,972.80 = 37,658.40 : x
  2. Step 2: Convert to fraction form
    67,314.24/100,972.80 = 37,658.40/x
  3. Step 3: Cross multiply
    67,314.24x = 100,972.80 × 37,658.40
  4. Step 4: Simplify right side
    67,314.24x = 3,802,474,091.52
  5. Step 5: Solve for x
    x = 3,802,474,091.52/67,314.24
  6. Step 6: Final answer
    x = 56,488.41

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1.5x scale

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.