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Finding the Fourth Proportional to 31,585.94, 43,588.59 and 17,438.88

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Solution

The fourth proportional to 31,585.94, 43,588.59 and 17,438.88 is: 24,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.94 : 43,588.59 = 17,438.88 : x
  2. Step 2: Convert to fraction form
    31,585.94/43,588.59 = 17,438.88/x
  3. Step 3: Cross multiply
    31,585.94x = 43,588.59 × 17,438.88
  4. Step 4: Simplify right side
    31,585.94x = 760,136,190.38
  5. Step 5: Solve for x
    x = 760,136,190.38/31,585.94
  6. Step 6: Final answer
    x = 24,065.65

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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.