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Finding the Fourth Proportional to 32,591.76, 48,888.60 and 9,215.76

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Solution

The fourth proportional to 32,591.76, 48,888.60 and 9,215.76 is: 13,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.76 : 48,888.60 = 9,215.76 : x
  2. Step 2: Convert to fraction form
    32,591.76/48,888.60 = 9,215.76/x
  3. Step 3: Cross multiply
    32,591.76x = 48,888.60 × 9,215.76
  4. Step 4: Simplify right side
    32,591.76x = 450,545,604.34
  5. Step 5: Solve for x
    x = 450,545,604.34/32,591.76
  6. Step 6: Final answer
    x = 13,823.91

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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.