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Finding the Fourth Proportional to 31,809.16, 43,898.01 and 17,662

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Solution

The fourth proportional to 31,809.16, 43,898.01 and 17,662 is: 24,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809.16 : 43,898.01 = 17,662 : x
  2. Step 2: Convert to fraction form
    31,809.16/43,898.01 = 17,662/x
  3. Step 3: Cross multiply
    31,809.16x = 43,898.01 × 17,662
  4. Step 4: Simplify right side
    31,809.16x = 775,326,652.62
  5. Step 5: Solve for x
    x = 775,326,652.62/31,809.16
  6. Step 6: Final answer
    x = 24,374.32

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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.