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Finding the Fourth Proportional to 32,191.83, 48,259.13 and 12,187.40

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Solution

The fourth proportional to 32,191.83, 48,259.13 and 12,187.40 is: 18,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.83 : 48,259.13 = 12,187.40 : x
  2. Step 2: Convert to fraction form
    32,191.83/48,259.13 = 12,187.40/x
  3. Step 3: Cross multiply
    32,191.83x = 48,259.13 × 12,187.40
  4. Step 4: Simplify right side
    32,191.83x = 588,153,018.73
  5. Step 5: Solve for x
    x = 588,153,018.73/32,191.83
  6. Step 6: Final answer
    x = 18,270.26

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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.