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Finding the Fourth Proportional to 32,060.25, 48,097.80 and 11,283.75

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Solution

The fourth proportional to 32,060.25, 48,097.80 and 11,283.75 is: 16,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,060.25 : 48,097.80 = 11,283.75 : x
  2. Step 2: Convert to fraction form
    32,060.25/48,097.80 = 11,283.75/x
  3. Step 3: Cross multiply
    32,060.25x = 48,097.80 × 11,283.75
  4. Step 4: Simplify right side
    32,060.25x = 542,723,550.75
  5. Step 5: Solve for x
    x = 542,723,550.75/32,060.25
  6. Step 6: Final answer
    x = 16,928.24

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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.