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Finding the Fourth Proportional to 32,169.17, 48,237.28 and 13,444.09

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Solution

The fourth proportional to 32,169.17, 48,237.28 and 13,444.09 is: 20,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.17 : 48,237.28 = 13,444.09 : x
  2. Step 2: Convert to fraction form
    32,169.17/48,237.28 = 13,444.09/x
  3. Step 3: Cross multiply
    32,169.17x = 48,237.28 × 13,444.09
  4. Step 4: Simplify right side
    32,169.17x = 648,506,333.68
  5. Step 5: Solve for x
    x = 648,506,333.68/32,169.17
  6. Step 6: Final answer
    x = 20,159.25

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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.