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Finding the Fourth Proportional to 32,326.42, 48,489.54 and 10,139.77

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Solution

The fourth proportional to 32,326.42, 48,489.54 and 10,139.77 is: 15,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,326.42 : 48,489.54 = 10,139.77 : x
  2. Step 2: Convert to fraction form
    32,326.42/48,489.54 = 10,139.77/x
  3. Step 3: Cross multiply
    32,326.42x = 48,489.54 × 10,139.77
  4. Step 4: Simplify right side
    32,326.42x = 491,672,783.01
  5. Step 5: Solve for x
    x = 491,672,783.01/32,326.42
  6. Step 6: Final answer
    x = 15,209.63

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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.