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Finding the Fourth Proportional to 31,098.98, 42,816.66 and 27,679.70

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Solution

The fourth proportional to 31,098.98, 42,816.66 and 27,679.70 is: 38,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.98 : 42,816.66 = 27,679.70 : x
  2. Step 2: Convert to fraction form
    31,098.98/42,816.66 = 27,679.70/x
  3. Step 3: Cross multiply
    31,098.98x = 42,816.66 × 27,679.70
  4. Step 4: Simplify right side
    31,098.98x = 1,185,152,303.80
  5. Step 5: Solve for x
    x = 1,185,152,303.80/31,098.98
  6. Step 6: Final answer
    x = 38,109.04

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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.