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Finding the Fourth Proportional to 32,778.27, 49,166.13 and 9,404.70

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Solution

The fourth proportional to 32,778.27, 49,166.13 and 9,404.70 is: 14,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.27 : 49,166.13 = 9,404.70 : x
  2. Step 2: Convert to fraction form
    32,778.27/49,166.13 = 9,404.70/x
  3. Step 3: Cross multiply
    32,778.27x = 49,166.13 × 9,404.70
  4. Step 4: Simplify right side
    32,778.27x = 462,392,702.81
  5. Step 5: Solve for x
    x = 462,392,702.81/32,778.27
  6. Step 6: Final answer
    x = 14,106.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.