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Finding the Fourth Proportional to 32,082.32, 48,124.92 and 11,306

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Solution

The fourth proportional to 32,082.32, 48,124.92 and 11,306 is: 16,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.32 : 48,124.92 = 11,306 : x
  2. Step 2: Convert to fraction form
    32,082.32/48,124.92 = 11,306/x
  3. Step 3: Cross multiply
    32,082.32x = 48,124.92 × 11,306
  4. Step 4: Simplify right side
    32,082.32x = 544,100,345.52
  5. Step 5: Solve for x
    x = 544,100,345.52/32,082.32
  6. Step 6: Final answer
    x = 16,959.51

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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.