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Finding the Fourth Proportional to 32,570.52, 48,857.49 and 9,198.78

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Solution

The fourth proportional to 32,570.52, 48,857.49 and 9,198.78 is: 13,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.52 : 48,857.49 = 9,198.78 : x
  2. Step 2: Convert to fraction form
    32,570.52/48,857.49 = 9,198.78/x
  3. Step 3: Cross multiply
    32,570.52x = 48,857.49 × 9,198.78
  4. Step 4: Simplify right side
    32,570.52x = 449,429,301.86
  5. Step 5: Solve for x
    x = 449,429,301.86/32,570.52
  6. Step 6: Final answer
    x = 13,798.65

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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.