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Finding the Fourth Proportional to 32,051.28, 48,069.62 and 12,319.68

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Solution

The fourth proportional to 32,051.28, 48,069.62 and 12,319.68 is: 18,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.28 : 48,069.62 = 12,319.68 : x
  2. Step 2: Convert to fraction form
    32,051.28/48,069.62 = 12,319.68/x
  3. Step 3: Cross multiply
    32,051.28x = 48,069.62 × 12,319.68
  4. Step 4: Simplify right side
    32,051.28x = 592,202,336.12
  5. Step 5: Solve for x
    x = 592,202,336.12/32,051.28
  6. Step 6: Final answer
    x = 18,476.71

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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.