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Finding the Fourth Proportional to 31,239.50, 46,859.24 and 9,052.89

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Solution

The fourth proportional to 31,239.50, 46,859.24 and 9,052.89 is: 13,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239.50 : 46,859.24 = 9,052.89 : x
  2. Step 2: Convert to fraction form
    31,239.50/46,859.24 = 9,052.89/x
  3. Step 3: Cross multiply
    31,239.50x = 46,859.24 × 9,052.89
  4. Step 4: Simplify right side
    31,239.50x = 424,211,545.20
  5. Step 5: Solve for x
    x = 424,211,545.20/31,239.50
  6. Step 6: Final answer
    x = 13,579.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.