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Finding the Fourth Proportional to 31,578.60, 47,324.70 and 25,746.60

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Solution

The fourth proportional to 31,578.60, 47,324.70 and 25,746.60 is: 38,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.60 : 47,324.70 = 25,746.60 : x
  2. Step 2: Convert to fraction form
    31,578.60/47,324.70 = 25,746.60/x
  3. Step 3: Cross multiply
    31,578.60x = 47,324.70 × 25,746.60
  4. Step 4: Simplify right side
    31,578.60x = 1,218,450,121.02
  5. Step 5: Solve for x
    x = 1,218,450,121.02/31,578.60
  6. Step 6: Final answer
    x = 38,584.68

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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.