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Finding the Fourth Proportional to 115,534.91, 173,301.81 and 31,294.91

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Solution

The fourth proportional to 115,534.91, 173,301.81 and 31,294.91 is: 46,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,534.91 : 173,301.81 = 31,294.91 : x
  2. Step 2: Convert to fraction form
    115,534.91/173,301.81 = 31,294.91/x
  3. Step 3: Cross multiply
    115,534.91x = 173,301.81 × 31,294.91
  4. Step 4: Simplify right side
    115,534.91x = 5,423,464,546.79
  5. Step 5: Solve for x
    x = 5,423,464,546.79/115,534.91
  6. Step 6: Final answer
    x = 46,942.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.