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Finding the Fourth Proportional to 31,335.48, 46,978.57 and 15,529.65

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Solution

The fourth proportional to 31,335.48, 46,978.57 and 15,529.65 is: 23,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.48 : 46,978.57 = 15,529.65 : x
  2. Step 2: Convert to fraction form
    31,335.48/46,978.57 = 15,529.65/x
  3. Step 3: Cross multiply
    31,335.48x = 46,978.57 × 15,529.65
  4. Step 4: Simplify right side
    31,335.48x = 729,560,710.78
  5. Step 5: Solve for x
    x = 729,560,710.78/31,335.48
  6. Step 6: Final answer
    x = 23,282.26

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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.