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Finding the Fourth Proportional to 32,282.96, 48,425.40 and 13,802.96

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Solution

The fourth proportional to 32,282.96, 48,425.40 and 13,802.96 is: 20,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.96 : 48,425.40 = 13,802.96 : x
  2. Step 2: Convert to fraction form
    32,282.96/48,425.40 = 13,802.96/x
  3. Step 3: Cross multiply
    32,282.96x = 48,425.40 × 13,802.96
  4. Step 4: Simplify right side
    32,282.96x = 668,413,859.18
  5. Step 5: Solve for x
    x = 668,413,859.18/32,282.96
  6. Step 6: Final answer
    x = 20,704.85

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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.