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Finding the Fourth Proportional to 32,029.60, 48,018.80 and 13,546.40

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Solution

The fourth proportional to 32,029.60, 48,018.80 and 13,546.40 is: 20,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.60 : 48,018.80 = 13,546.40 : x
  2. Step 2: Convert to fraction form
    32,029.60/48,018.80 = 13,546.40/x
  3. Step 3: Cross multiply
    32,029.60x = 48,018.80 × 13,546.40
  4. Step 4: Simplify right side
    32,029.60x = 650,481,872.32
  5. Step 5: Solve for x
    x = 650,481,872.32/32,029.60
  6. Step 6: Final answer
    x = 20,308.77

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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.