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Finding the Fourth Proportional to 31,897.24, 44,006.34 and 31,848.04

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Solution

The fourth proportional to 31,897.24, 44,006.34 and 31,848.04 is: 43,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.24 : 44,006.34 = 31,848.04 : x
  2. Step 2: Convert to fraction form
    31,897.24/44,006.34 = 31,848.04/x
  3. Step 3: Cross multiply
    31,897.24x = 44,006.34 × 31,848.04
  4. Step 4: Simplify right side
    31,897.24x = 1,401,515,424.33
  5. Step 5: Solve for x
    x = 1,401,515,424.33/31,897.24
  6. Step 6: Final answer
    x = 43,938.45

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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.