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Finding the Fourth Proportional to 32,326.28, 48,483.92 and 8,947.24

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Solution

The fourth proportional to 32,326.28, 48,483.92 and 8,947.24 is: 13,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,326.28 : 48,483.92 = 8,947.24 : x
  2. Step 2: Convert to fraction form
    32,326.28/48,483.92 = 8,947.24/x
  3. Step 3: Cross multiply
    32,326.28x = 48,483.92 × 8,947.24
  4. Step 4: Simplify right side
    32,326.28x = 433,797,268.38
  5. Step 5: Solve for x
    x = 433,797,268.38/32,326.28
  6. Step 6: Final answer
    x = 13,419.34

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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.