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Finding the Fourth Proportional to 32,111.42, 48,143.03 and 9,911.75

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Solution

The fourth proportional to 32,111.42, 48,143.03 and 9,911.75 is: 14,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.42 : 48,143.03 = 9,911.75 : x
  2. Step 2: Convert to fraction form
    32,111.42/48,143.03 = 9,911.75/x
  3. Step 3: Cross multiply
    32,111.42x = 48,143.03 × 9,911.75
  4. Step 4: Simplify right side
    32,111.42x = 477,181,387.33
  5. Step 5: Solve for x
    x = 477,181,387.33/32,111.42
  6. Step 6: Final answer
    x = 14,860.18

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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.