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Finding the Fourth Proportional to 31,096.98, 42,813.90 and 27,677.70

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Solution

The fourth proportional to 31,096.98, 42,813.90 and 27,677.70 is: 38,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.98 : 42,813.90 = 27,677.70 : x
  2. Step 2: Convert to fraction form
    31,096.98/42,813.90 = 27,677.70/x
  3. Step 3: Cross multiply
    31,096.98x = 42,813.90 × 27,677.70
  4. Step 4: Simplify right side
    31,096.98x = 1,184,990,280.03
  5. Step 5: Solve for x
    x = 1,184,990,280.03/31,096.98
  6. Step 6: Final answer
    x = 38,106.28

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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.