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Finding the Fourth Proportional to 68,259.34, 102,435.12 and 23,886.48

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Solution

The fourth proportional to 68,259.34, 102,435.12 and 23,886.48 is: 35,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,259.34 : 102,435.12 = 23,886.48 : x
  2. Step 2: Convert to fraction form
    68,259.34/102,435.12 = 23,886.48/x
  3. Step 3: Cross multiply
    68,259.34x = 102,435.12 × 23,886.48
  4. Step 4: Simplify right side
    68,259.34x = 2,446,814,445.18
  5. Step 5: Solve for x
    x = 2,446,814,445.18/68,259.34
  6. Step 6: Final answer
    x = 35,845.86

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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.