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Finding the Fourth Proportional to 32,051.88, 48,057 and 13,344.72

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Solution

The fourth proportional to 32,051.88, 48,057 and 13,344.72 is: 20,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.88 : 48,057 = 13,344.72 : x
  2. Step 2: Convert to fraction form
    32,051.88/48,057 = 13,344.72/x
  3. Step 3: Cross multiply
    32,051.88x = 48,057 × 13,344.72
  4. Step 4: Simplify right side
    32,051.88x = 641,307,209.04
  5. Step 5: Solve for x
    x = 641,307,209.04/32,051.88
  6. Step 6: Final answer
    x = 20,008.41

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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.