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Finding the Fourth Proportional to 31,897.50, 44,030.43 and 23,962.65

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Solution

The fourth proportional to 31,897.50, 44,030.43 and 23,962.65 is: 33,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.50 : 44,030.43 = 23,962.65 : x
  2. Step 2: Convert to fraction form
    31,897.50/44,030.43 = 23,962.65/x
  3. Step 3: Cross multiply
    31,897.50x = 44,030.43 × 23,962.65
  4. Step 4: Simplify right side
    31,897.50x = 1,055,085,783.44
  5. Step 5: Solve for x
    x = 1,055,085,783.44/31,897.50
  6. Step 6: Final answer
    x = 33,077.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.