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Finding the Fourth Proportional to 32,564.32, 48,846.49 and 15,024.58

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Solution

The fourth proportional to 32,564.32, 48,846.49 and 15,024.58 is: 22,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.32 : 48,846.49 = 15,024.58 : x
  2. Step 2: Convert to fraction form
    32,564.32/48,846.49 = 15,024.58/x
  3. Step 3: Cross multiply
    32,564.32x = 48,846.49 × 15,024.58
  4. Step 4: Simplify right side
    32,564.32x = 733,897,837.05
  5. Step 5: Solve for x
    x = 733,897,837.05/32,564.32
  6. Step 6: Final answer
    x = 22,536.87

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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.