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Finding the Fourth Proportional to 31,585.50, 43,588.04 and 17,438.31

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Solution

The fourth proportional to 31,585.50, 43,588.04 and 17,438.31 is: 24,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.50 : 43,588.04 = 17,438.31 : x
  2. Step 2: Convert to fraction form
    31,585.50/43,588.04 = 17,438.31/x
  3. Step 3: Cross multiply
    31,585.50x = 43,588.04 × 17,438.31
  4. Step 4: Simplify right side
    31,585.50x = 760,101,666.62
  5. Step 5: Solve for x
    x = 760,101,666.62/31,585.50
  6. Step 6: Final answer
    x = 24,064.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.