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Finding the Fourth Proportional to 32,951.99, 49,407.22 and 27,956.12

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Solution

The fourth proportional to 32,951.99, 49,407.22 and 27,956.12 is: 41,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.99 : 49,407.22 = 27,956.12 : x
  2. Step 2: Convert to fraction form
    32,951.99/49,407.22 = 27,956.12/x
  3. Step 3: Cross multiply
    32,951.99x = 49,407.22 × 27,956.12
  4. Step 4: Simplify right side
    32,951.99x = 1,381,233,854.26
  5. Step 5: Solve for x
    x = 1,381,233,854.26/32,951.99
  6. Step 6: Final answer
    x = 41,916.55

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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.