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Finding the Fourth Proportional to 32,199.10, 48,298.10 and 8,825.54

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Solution

The fourth proportional to 32,199.10, 48,298.10 and 8,825.54 is: 13,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.10 : 48,298.10 = 8,825.54 : x
  2. Step 2: Convert to fraction form
    32,199.10/48,298.10 = 8,825.54/x
  3. Step 3: Cross multiply
    32,199.10x = 48,298.10 × 8,825.54
  4. Step 4: Simplify right side
    32,199.10x = 426,256,527.86
  5. Step 5: Solve for x
    x = 426,256,527.86/32,199.10
  6. Step 6: Final answer
    x = 13,238.15

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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.