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Finding the Fourth Proportional to 32,493.86, 48,740.78 and 17,715.20

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Solution

The fourth proportional to 32,493.86, 48,740.78 and 17,715.20 is: 26,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.86 : 48,740.78 = 17,715.20 : x
  2. Step 2: Convert to fraction form
    32,493.86/48,740.78 = 17,715.20/x
  3. Step 3: Cross multiply
    32,493.86x = 48,740.78 × 17,715.20
  4. Step 4: Simplify right side
    32,493.86x = 863,452,665.86
  5. Step 5: Solve for x
    x = 863,452,665.86/32,493.86
  6. Step 6: Final answer
    x = 26,572.80

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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.