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Finding the Fourth Proportional to 32,564.10, 48,853.36 and 13,860.02

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Solution

The fourth proportional to 32,564.10, 48,853.36 and 13,860.02 is: 20,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.10 : 48,853.36 = 13,860.02 : x
  2. Step 2: Convert to fraction form
    32,564.10/48,853.36 = 13,860.02/x
  3. Step 3: Cross multiply
    32,564.10x = 48,853.36 × 13,860.02
  4. Step 4: Simplify right side
    32,564.10x = 677,108,546.67
  5. Step 5: Solve for x
    x = 677,108,546.67/32,564.10
  6. Step 6: Final answer
    x = 20,793.10

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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.