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Finding the Fourth Proportional to 32,296.38, 48,444.48 and 8,922.78

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Solution

The fourth proportional to 32,296.38, 48,444.48 and 8,922.78 is: 13,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.38 : 48,444.48 = 8,922.78 : x
  2. Step 2: Convert to fraction form
    32,296.38/48,444.48 = 8,922.78/x
  3. Step 3: Cross multiply
    32,296.38x = 48,444.48 × 8,922.78
  4. Step 4: Simplify right side
    32,296.38x = 432,259,437.25
  5. Step 5: Solve for x
    x = 432,259,437.25/32,296.38
  6. Step 6: Final answer
    x = 13,384.15

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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.