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Finding the Fourth Proportional to 68,017.85, 102,037.34 and 34,719.90

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Solution

The fourth proportional to 68,017.85, 102,037.34 and 34,719.90 is: 52,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,017.85 : 102,037.34 = 34,719.90 : x
  2. Step 2: Convert to fraction form
    68,017.85/102,037.34 = 34,719.90/x
  3. Step 3: Cross multiply
    68,017.85x = 102,037.34 × 34,719.90
  4. Step 4: Simplify right side
    68,017.85x = 3,542,725,557.28
  5. Step 5: Solve for x
    x = 3,542,725,557.28/68,017.85
  6. Step 6: Final answer
    x = 52,085.24

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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.