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Finding the Fourth Proportional to 32,006.35, 48,015.21 and 10,948.72

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Solution

The fourth proportional to 32,006.35, 48,015.21 and 10,948.72 is: 16,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.35 : 48,015.21 = 10,948.72 : x
  2. Step 2: Convert to fraction form
    32,006.35/48,015.21 = 10,948.72/x
  3. Step 3: Cross multiply
    32,006.35x = 48,015.21 × 10,948.72
  4. Step 4: Simplify right side
    32,006.35x = 525,704,795.21
  5. Step 5: Solve for x
    x = 525,704,795.21/32,006.35
  6. Step 6: Final answer
    x = 16,425.02

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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.