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Finding the Fourth Proportional to 32,785.84, 49,194.20 and 16,159.92

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Solution

The fourth proportional to 32,785.84, 49,194.20 and 16,159.92 is: 24,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785.84 : 49,194.20 = 16,159.92 : x
  2. Step 2: Convert to fraction form
    32,785.84/49,194.20 = 16,159.92/x
  3. Step 3: Cross multiply
    32,785.84x = 49,194.20 × 16,159.92
  4. Step 4: Simplify right side
    32,785.84x = 794,974,336.46
  5. Step 5: Solve for x
    x = 794,974,336.46/32,785.84
  6. Step 6: Final answer
    x = 24,247.49

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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.