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Finding the Fourth Proportional to 32,077.50, 48,135.69 and 13,609.50

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Solution

The fourth proportional to 32,077.50, 48,135.69 and 13,609.50 is: 20,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.50 : 48,135.69 = 13,609.50 : x
  2. Step 2: Convert to fraction form
    32,077.50/48,135.69 = 13,609.50/x
  3. Step 3: Cross multiply
    32,077.50x = 48,135.69 × 13,609.50
  4. Step 4: Simplify right side
    32,077.50x = 655,102,673.06
  5. Step 5: Solve for x
    x = 655,102,673.06/32,077.50
  6. Step 6: Final answer
    x = 20,422.50

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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.