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Finding the Fourth Proportional to 32,228.02, 48,355.89 and 17,447.50

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Solution

The fourth proportional to 32,228.02, 48,355.89 and 17,447.50 is: 26,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228.02 : 48,355.89 = 17,447.50 : x
  2. Step 2: Convert to fraction form
    32,228.02/48,355.89 = 17,447.50/x
  3. Step 3: Cross multiply
    32,228.02x = 48,355.89 × 17,447.50
  4. Step 4: Simplify right side
    32,228.02x = 843,689,390.78
  5. Step 5: Solve for x
    x = 843,689,390.78/32,228.02
  6. Step 6: Final answer
    x = 26,178.75

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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.