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Finding the Fourth Proportional to 68,206.46, 102,246.40 and 34,852.98

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Solution

The fourth proportional to 68,206.46, 102,246.40 and 34,852.98 is: 52,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,206.46 : 102,246.40 = 34,852.98 : x
  2. Step 2: Convert to fraction form
    68,206.46/102,246.40 = 34,852.98/x
  3. Step 3: Cross multiply
    68,206.46x = 102,246.40 × 34,852.98
  4. Step 4: Simplify right side
    68,206.46x = 3,563,592,161.26
  5. Step 5: Solve for x
    x = 3,563,592,161.26/68,206.46
  6. Step 6: Final answer
    x = 52,247.14

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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.