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Finding the Fourth Proportional to 32,591.26, 48,887.85 and 9,215.26

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Solution

The fourth proportional to 32,591.26, 48,887.85 and 9,215.26 is: 13,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.26 : 48,887.85 = 9,215.26 : x
  2. Step 2: Convert to fraction form
    32,591.26/48,887.85 = 9,215.26/x
  3. Step 3: Cross multiply
    32,591.26x = 48,887.85 × 9,215.26
  4. Step 4: Simplify right side
    32,591.26x = 450,514,248.59
  5. Step 5: Solve for x
    x = 450,514,248.59/32,591.26
  6. Step 6: Final answer
    x = 13,823.16

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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.