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Finding the Fourth Proportional to 31,019.38, 42,698.70 and 27,033.58

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Solution

The fourth proportional to 31,019.38, 42,698.70 and 27,033.58 is: 37,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.38 : 42,698.70 = 27,033.58 : x
  2. Step 2: Convert to fraction form
    31,019.38/42,698.70 = 27,033.58/x
  3. Step 3: Cross multiply
    31,019.38x = 42,698.70 × 27,033.58
  4. Step 4: Simplify right side
    31,019.38x = 1,154,298,722.35
  5. Step 5: Solve for x
    x = 1,154,298,722.35/31,019.38
  6. Step 6: Final answer
    x = 37,212.18

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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.