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Finding the Fourth Proportional to 68,324.33, 102,506.34 and 28,335.98

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Solution

The fourth proportional to 68,324.33, 102,506.34 and 28,335.98 is: 42,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,324.33 : 102,506.34 = 28,335.98 : x
  2. Step 2: Convert to fraction form
    68,324.33/102,506.34 = 28,335.98/x
  3. Step 3: Cross multiply
    68,324.33x = 102,506.34 × 28,335.98
  4. Step 4: Simplify right side
    68,324.33x = 2,904,617,600.11
  5. Step 5: Solve for x
    x = 2,904,617,600.11/68,324.33
  6. Step 6: Final answer
    x = 42,512.20

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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.