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Finding the Fourth Proportional to 32,162.00, 48,272.42 and 16,377.94

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Solution

The fourth proportional to 32,162.00, 48,272.42 and 16,377.94 is: 24,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.00 : 48,272.42 = 16,377.94 : x
  2. Step 2: Convert to fraction form
    32,162.00/48,272.42 = 16,377.94/x
  3. Step 3: Cross multiply
    32,162.00x = 48,272.42 × 16,377.94
  4. Step 4: Simplify right side
    32,162.00x = 790,602,718.68
  5. Step 5: Solve for x
    x = 790,602,718.68/32,162.00
  6. Step 6: Final answer
    x = 24,581.89

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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.