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Finding the Fourth Proportional to 31,323.47, 46,900.44 and 22,939.97

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Solution

The fourth proportional to 31,323.47, 46,900.44 and 22,939.97 is: 34,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.47 : 46,900.44 = 22,939.97 : x
  2. Step 2: Convert to fraction form
    31,323.47/46,900.44 = 22,939.97/x
  3. Step 3: Cross multiply
    31,323.47x = 46,900.44 × 22,939.97
  4. Step 4: Simplify right side
    31,323.47x = 1,075,894,452.08
  5. Step 5: Solve for x
    x = 1,075,894,452.08/31,323.47
  6. Step 6: Final answer
    x = 34,347.87

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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.