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Finding the Fourth Proportional to 32,006.50, 47,994.41 and 15,125.46

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Solution

The fourth proportional to 32,006.50, 47,994.41 and 15,125.46 is: 22,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.50 : 47,994.41 = 15,125.46 : x
  2. Step 2: Convert to fraction form
    32,006.50/47,994.41 = 15,125.46/x
  3. Step 3: Cross multiply
    32,006.50x = 47,994.41 × 15,125.46
  4. Step 4: Simplify right side
    32,006.50x = 725,937,528.68
  5. Step 5: Solve for x
    x = 725,937,528.68/32,006.50
  6. Step 6: Final answer
    x = 22,680.94

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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.