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Finding the Fourth Proportional to 32,886.54, 49,348.62 and 13,909.68

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Solution

The fourth proportional to 32,886.54, 49,348.62 and 13,909.68 is: 20,872.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886.54 : 49,348.62 = 13,909.68 : x
  2. Step 2: Convert to fraction form
    32,886.54/49,348.62 = 13,909.68/x
  3. Step 3: Cross multiply
    32,886.54x = 49,348.62 × 13,909.68
  4. Step 4: Simplify right side
    32,886.54x = 686,423,512.64
  5. Step 5: Solve for x
    x = 686,423,512.64/32,886.54
  6. Step 6: Final answer
    x = 20,872.48

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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.