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Finding the Fourth Proportional to 25,902.86, 38,678.56 and 20,578.10

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Solution

The fourth proportional to 25,902.86, 38,678.56 and 20,578.10 is: 30,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.86 : 38,678.56 = 20,578.10 : x
  2. Step 2: Convert to fraction form
    25,902.86/38,678.56 = 20,578.10/x
  3. Step 3: Cross multiply
    25,902.86x = 38,678.56 × 20,578.10
  4. Step 4: Simplify right side
    25,902.86x = 795,931,275.54
  5. Step 5: Solve for x
    x = 795,931,275.54/25,902.86
  6. Step 6: Final answer
    x = 30,727.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.