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Finding the Fourth Proportional to 32,972.96, 49,491.84 and 24,182.84

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Solution

The fourth proportional to 32,972.96, 49,491.84 and 24,182.84 is: 36,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.96 : 49,491.84 = 24,182.84 : x
  2. Step 2: Convert to fraction form
    32,972.96/49,491.84 = 24,182.84/x
  3. Step 3: Cross multiply
    32,972.96x = 49,491.84 × 24,182.84
  4. Step 4: Simplify right side
    32,972.96x = 1,196,853,248.03
  5. Step 5: Solve for x
    x = 1,196,853,248.03/32,972.96
  6. Step 6: Final answer
    x = 36,298.02

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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.