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Finding the Fourth Proportional to 32,570.90, 48,851.55 and 9,199.70

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Solution

The fourth proportional to 32,570.90, 48,851.55 and 9,199.70 is: 13,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.90 : 48,851.55 = 9,199.70 : x
  2. Step 2: Convert to fraction form
    32,570.90/48,851.55 = 9,199.70/x
  3. Step 3: Cross multiply
    32,570.90x = 48,851.55 × 9,199.70
  4. Step 4: Simplify right side
    32,570.90x = 449,419,604.54
  5. Step 5: Solve for x
    x = 449,419,604.54/32,570.90
  6. Step 6: Final answer
    x = 13,798.19

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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.