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Finding the Fourth Proportional to 32,309.15, 48,443.88 and 12,564.69

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Solution

The fourth proportional to 32,309.15, 48,443.88 and 12,564.69 is: 18,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.15 : 48,443.88 = 12,564.69 : x
  2. Step 2: Convert to fraction form
    32,309.15/48,443.88 = 12,564.69/x
  3. Step 3: Cross multiply
    32,309.15x = 48,443.88 × 12,564.69
  4. Step 4: Simplify right side
    32,309.15x = 608,682,334.60
  5. Step 5: Solve for x
    x = 608,682,334.60/32,309.15
  6. Step 6: Final answer
    x = 18,839.32

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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.