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Finding the Fourth Proportional to 32,180.60, 48,249.30 and 14,641.40

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Solution

The fourth proportional to 32,180.60, 48,249.30 and 14,641.40 is: 21,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.60 : 48,249.30 = 14,641.40 : x
  2. Step 2: Convert to fraction form
    32,180.60/48,249.30 = 14,641.40/x
  3. Step 3: Cross multiply
    32,180.60x = 48,249.30 × 14,641.40
  4. Step 4: Simplify right side
    32,180.60x = 706,437,301.02
  5. Step 5: Solve for x
    x = 706,437,301.02/32,180.60
  6. Step 6: Final answer
    x = 21,952.27

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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.