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Finding the Fourth Proportional to 32,121.90, 48,196.58 and 13,406.08

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Solution

The fourth proportional to 32,121.90, 48,196.58 and 13,406.08 is: 20,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.90 : 48,196.58 = 13,406.08 : x
  2. Step 2: Convert to fraction form
    32,121.90/48,196.58 = 13,406.08/x
  3. Step 3: Cross multiply
    32,121.90x = 48,196.58 × 13,406.08
  4. Step 4: Simplify right side
    32,121.90x = 646,127,339.87
  5. Step 5: Solve for x
    x = 646,127,339.87/32,121.90
  6. Step 6: Final answer
    x = 20,114.85

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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.