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Finding the Fourth Proportional to 32,489.88, 48,745.76 and 14,946.50

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Solution

The fourth proportional to 32,489.88, 48,745.76 and 14,946.50 is: 22,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.88 : 48,745.76 = 14,946.50 : x
  2. Step 2: Convert to fraction form
    32,489.88/48,745.76 = 14,946.50/x
  3. Step 3: Cross multiply
    32,489.88x = 48,745.76 × 14,946.50
  4. Step 4: Simplify right side
    32,489.88x = 728,578,501.84
  5. Step 5: Solve for x
    x = 728,578,501.84/32,489.88
  6. Step 6: Final answer
    x = 22,424.78

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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.