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Finding the Fourth Proportional to 32,091.68, 48,149.01 and 14,320.78

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Solution

The fourth proportional to 32,091.68, 48,149.01 and 14,320.78 is: 21,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.68 : 48,149.01 = 14,320.78 : x
  2. Step 2: Convert to fraction form
    32,091.68/48,149.01 = 14,320.78/x
  3. Step 3: Cross multiply
    32,091.68x = 48,149.01 × 14,320.78
  4. Step 4: Simplify right side
    32,091.68x = 689,531,259.06
  5. Step 5: Solve for x
    x = 689,531,259.06/32,091.68
  6. Step 6: Final answer
    x = 21,486.29

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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.