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Finding the Fourth Proportional to 31,561.42, 47,325.54 and 9,371.74

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Solution

The fourth proportional to 31,561.42, 47,325.54 and 9,371.74 is: 14,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.42 : 47,325.54 = 9,371.74 : x
  2. Step 2: Convert to fraction form
    31,561.42/47,325.54 = 9,371.74/x
  3. Step 3: Cross multiply
    31,561.42x = 47,325.54 × 9,371.74
  4. Step 4: Simplify right side
    31,561.42x = 443,522,656.24
  5. Step 5: Solve for x
    x = 443,522,656.24/31,561.42
  6. Step 6: Final answer
    x = 14,052.68

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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.