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Finding the Fourth Proportional to 31,374.60, 43,297.66 and 17,947.08

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Solution

The fourth proportional to 31,374.60, 43,297.66 and 17,947.08 is: 24,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.60 : 43,297.66 = 17,947.08 : x
  2. Step 2: Convert to fraction form
    31,374.60/43,297.66 = 17,947.08/x
  3. Step 3: Cross multiply
    31,374.60x = 43,297.66 × 17,947.08
  4. Step 4: Simplify right side
    31,374.60x = 777,066,567.83
  5. Step 5: Solve for x
    x = 777,066,567.83/31,374.60
  6. Step 6: Final answer
    x = 24,767.38

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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.