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Finding the Fourth Proportional to 32,012.28, 48,017.16 and 9,824.52

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Solution

The fourth proportional to 32,012.28, 48,017.16 and 9,824.52 is: 14,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.28 : 48,017.16 = 9,824.52 : x
  2. Step 2: Convert to fraction form
    32,012.28/48,017.16 = 9,824.52/x
  3. Step 3: Cross multiply
    32,012.28x = 48,017.16 × 9,824.52
  4. Step 4: Simplify right side
    32,012.28x = 471,745,548.76
  5. Step 5: Solve for x
    x = 471,745,548.76/32,012.28
  6. Step 6: Final answer
    x = 14,736.39

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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.