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Finding the Fourth Proportional to 31,290.97, 46,897.03 and 22,359.78

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Solution

The fourth proportional to 31,290.97, 46,897.03 and 22,359.78 is: 33,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.97 : 46,897.03 = 22,359.78 : x
  2. Step 2: Convert to fraction form
    31,290.97/46,897.03 = 22,359.78/x
  3. Step 3: Cross multiply
    31,290.97x = 46,897.03 × 22,359.78
  4. Step 4: Simplify right side
    31,290.97x = 1,048,607,273.45
  5. Step 5: Solve for x
    x = 1,048,607,273.45/31,290.97
  6. Step 6: Final answer
    x = 33,511.50

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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.