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Finding the Fourth Proportional to 31,710.12, 43,758.36 and 17,369.76

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Solution

The fourth proportional to 31,710.12, 43,758.36 and 17,369.76 is: 23,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.12 : 43,758.36 = 17,369.76 : x
  2. Step 2: Convert to fraction form
    31,710.12/43,758.36 = 17,369.76/x
  3. Step 3: Cross multiply
    31,710.12x = 43,758.36 × 17,369.76
  4. Step 4: Simplify right side
    31,710.12x = 760,072,211.19
  5. Step 5: Solve for x
    x = 760,072,211.19/31,710.12
  6. Step 6: Final answer
    x = 23,969.39

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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.