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Finding the Fourth Proportional to 31,957.04, 44,099.70 and 20,026.82

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Solution

The fourth proportional to 31,957.04, 44,099.70 and 20,026.82 is: 27,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.04 : 44,099.70 = 20,026.82 : x
  2. Step 2: Convert to fraction form
    31,957.04/44,099.70 = 20,026.82/x
  3. Step 3: Cross multiply
    31,957.04x = 44,099.70 × 20,026.82
  4. Step 4: Simplify right side
    31,957.04x = 883,176,753.95
  5. Step 5: Solve for x
    x = 883,176,753.95/31,957.04
  6. Step 6: Final answer
    x = 27,636.38

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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.