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Finding the Fourth Proportional to 32,542.42, 48,821.14 and 13,823.06

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Solution

The fourth proportional to 32,542.42, 48,821.14 and 13,823.06 is: 20,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.42 : 48,821.14 = 13,823.06 : x
  2. Step 2: Convert to fraction form
    32,542.42/48,821.14 = 13,823.06/x
  3. Step 3: Cross multiply
    32,542.42x = 48,821.14 × 13,823.06
  4. Step 4: Simplify right side
    32,542.42x = 674,857,547.49
  5. Step 5: Solve for x
    x = 674,857,547.49/32,542.42
  6. Step 6: Final answer
    x = 20,737.78

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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.