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Finding the Fourth Proportional to 31,672.54, 47,508.81 and 9,488.26

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Solution

The fourth proportional to 31,672.54, 47,508.81 and 9,488.26 is: 14,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.54 : 47,508.81 = 9,488.26 : x
  2. Step 2: Convert to fraction form
    31,672.54/47,508.81 = 9,488.26/x
  3. Step 3: Cross multiply
    31,672.54x = 47,508.81 × 9,488.26
  4. Step 4: Simplify right side
    31,672.54x = 450,775,941.57
  5. Step 5: Solve for x
    x = 450,775,941.57/31,672.54
  6. Step 6: Final answer
    x = 14,232.39

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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.