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Finding the Fourth Proportional to 68,208.21, 102,312.51 and 23,834.97

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Solution

The fourth proportional to 68,208.21, 102,312.51 and 23,834.97 is: 35,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,208.21 : 102,312.51 = 23,834.97 : x
  2. Step 2: Convert to fraction form
    68,208.21/102,312.51 = 23,834.97/x
  3. Step 3: Cross multiply
    68,208.21x = 102,312.51 × 23,834.97
  4. Step 4: Simplify right side
    68,208.21x = 2,438,615,606.47
  5. Step 5: Solve for x
    x = 2,438,615,606.47/68,208.21
  6. Step 6: Final answer
    x = 35,752.52

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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.