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Finding the Fourth Proportional to 115,296.70, 172,932.08 and 31,063.10

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Solution

The fourth proportional to 115,296.70, 172,932.08 and 31,063.10 is: 46,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,296.70 : 172,932.08 = 31,063.10 : x
  2. Step 2: Convert to fraction form
    115,296.70/172,932.08 = 31,063.10/x
  3. Step 3: Cross multiply
    115,296.70x = 172,932.08 × 31,063.10
  4. Step 4: Simplify right side
    115,296.70x = 5,371,806,494.25
  5. Step 5: Solve for x
    x = 5,371,806,494.25/115,296.70
  6. Step 6: Final answer
    x = 46,591.16

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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.