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Finding the Fourth Proportional to 31,585.56, 43,587.72 and 17,438.10

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Solution

The fourth proportional to 31,585.56, 43,587.72 and 17,438.10 is: 24,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.56 : 43,587.72 = 17,438.10 : x
  2. Step 2: Convert to fraction form
    31,585.56/43,587.72 = 17,438.10/x
  3. Step 3: Cross multiply
    31,585.56x = 43,587.72 × 17,438.10
  4. Step 4: Simplify right side
    31,585.56x = 760,087,020.13
  5. Step 5: Solve for x
    x = 760,087,020.13/31,585.56
  6. Step 6: Final answer
    x = 24,064.38

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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.