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Finding the Fourth Proportional to 32,386.68, 48,580.20 and 9,013.14

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Solution

The fourth proportional to 32,386.68, 48,580.20 and 9,013.14 is: 13,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,386.68 : 48,580.20 = 9,013.14 : x
  2. Step 2: Convert to fraction form
    32,386.68/48,580.20 = 9,013.14/x
  3. Step 3: Cross multiply
    32,386.68x = 48,580.20 × 9,013.14
  4. Step 4: Simplify right side
    32,386.68x = 437,860,143.83
  5. Step 5: Solve for x
    x = 437,860,143.83/32,386.68
  6. Step 6: Final answer
    x = 13,519.76

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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.