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Finding the Fourth Proportional to 72,444.57, 108,696.77 and 31,897.26

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Solution

The fourth proportional to 72,444.57, 108,696.77 and 31,897.26 is: 47,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,444.57 : 108,696.77 = 31,897.26 : x
  2. Step 2: Convert to fraction form
    72,444.57/108,696.77 = 31,897.26/x
  3. Step 3: Cross multiply
    72,444.57x = 108,696.77 × 31,897.26
  4. Step 4: Simplify right side
    72,444.57x = 3,467,128,974.36
  5. Step 5: Solve for x
    x = 3,467,128,974.36/72,444.57
  6. Step 6: Final answer
    x = 47,859.06

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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.