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Finding the Fourth Proportional to 32,186.67, 48,280.04 and 13,456.45

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Solution

The fourth proportional to 32,186.67, 48,280.04 and 13,456.45 is: 20,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.67 : 48,280.04 = 13,456.45 : x
  2. Step 2: Convert to fraction form
    32,186.67/48,280.04 = 13,456.45/x
  3. Step 3: Cross multiply
    32,186.67x = 48,280.04 × 13,456.45
  4. Step 4: Simplify right side
    32,186.67x = 649,677,944.26
  5. Step 5: Solve for x
    x = 649,677,944.26/32,186.67
  6. Step 6: Final answer
    x = 20,184.69

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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.