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Finding the Fourth Proportional to 31,429.33, 47,144 and 9,242.71

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Solution

The fourth proportional to 31,429.33, 47,144 and 9,242.71 is: 13,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.33 : 47,144 = 9,242.71 : x
  2. Step 2: Convert to fraction form
    31,429.33/47,144 = 9,242.71/x
  3. Step 3: Cross multiply
    31,429.33x = 47,144 × 9,242.71
  4. Step 4: Simplify right side
    31,429.33x = 435,738,320.24
  5. Step 5: Solve for x
    x = 435,738,320.24/31,429.33
  6. Step 6: Final answer
    x = 13,864.07

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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.