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Finding the Fourth Proportional to 32,570.28, 48,854.61 and 9,196.38

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Solution

The fourth proportional to 32,570.28, 48,854.61 and 9,196.38 is: 13,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.28 : 48,854.61 = 9,196.38 : x
  2. Step 2: Convert to fraction form
    32,570.28/48,854.61 = 9,196.38/x
  3. Step 3: Cross multiply
    32,570.28x = 48,854.61 × 9,196.38
  4. Step 4: Simplify right side
    32,570.28x = 449,285,558.31
  5. Step 5: Solve for x
    x = 449,285,558.31/32,570.28
  6. Step 6: Final answer
    x = 13,794.34

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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.