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Finding the Fourth Proportional to 32,553.91, 48,826.53 and 9,182.23

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Solution

The fourth proportional to 32,553.91, 48,826.53 and 9,182.23 is: 13,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.91 : 48,826.53 = 9,182.23 : x
  2. Step 2: Convert to fraction form
    32,553.91/48,826.53 = 9,182.23/x
  3. Step 3: Cross multiply
    32,553.91x = 48,826.53 × 9,182.23
  4. Step 4: Simplify right side
    32,553.91x = 448,336,428.56
  5. Step 5: Solve for x
    x = 448,336,428.56/32,553.91
  6. Step 6: Final answer
    x = 13,772.12

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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.