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Finding the Fourth Proportional to 32,189.17, 48,267.28 and 13,464.09

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Solution

The fourth proportional to 32,189.17, 48,267.28 and 13,464.09 is: 20,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.17 : 48,267.28 = 13,464.09 : x
  2. Step 2: Convert to fraction form
    32,189.17/48,267.28 = 13,464.09/x
  3. Step 3: Cross multiply
    32,189.17x = 48,267.28 × 13,464.09
  4. Step 4: Simplify right side
    32,189.17x = 649,875,001.98
  5. Step 5: Solve for x
    x = 649,875,001.98/32,189.17
  6. Step 6: Final answer
    x = 20,189.24

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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.