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Finding the Fourth Proportional to 31,428.21, 47,150.42 and 9,242.31

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Solution

The fourth proportional to 31,428.21, 47,150.42 and 9,242.31 is: 13,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428.21 : 47,150.42 = 9,242.31 : x
  2. Step 2: Convert to fraction form
    31,428.21/47,150.42 = 9,242.31/x
  3. Step 3: Cross multiply
    31,428.21x = 47,150.42 × 9,242.31
  4. Step 4: Simplify right side
    31,428.21x = 435,778,752.06
  5. Step 5: Solve for x
    x = 435,778,752.06/31,428.21
  6. Step 6: Final answer
    x = 13,865.85

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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.