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Finding the Fourth Proportional to 115,306.16, 172,944.92 and 31,072.91

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Solution

The fourth proportional to 115,306.16, 172,944.92 and 31,072.91 is: 46,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,306.16 : 172,944.92 = 31,072.91 : x
  2. Step 2: Convert to fraction form
    115,306.16/172,944.92 = 31,072.91/x
  3. Step 3: Cross multiply
    115,306.16x = 172,944.92 × 31,072.91
  4. Step 4: Simplify right side
    115,306.16x = 5,373,901,147.07
  5. Step 5: Solve for x
    x = 5,373,901,147.07/115,306.16
  6. Step 6: Final answer
    x = 46,605.50

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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.