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Finding the Fourth Proportional to 68,047.71, 102,101.94 and 34,750.23

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Solution

The fourth proportional to 68,047.71, 102,101.94 and 34,750.23 is: 52,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.71 : 102,101.94 = 34,750.23 : x
  2. Step 2: Convert to fraction form
    68,047.71/102,101.94 = 34,750.23/x
  3. Step 3: Cross multiply
    68,047.71x = 102,101.94 × 34,750.23
  4. Step 4: Simplify right side
    68,047.71x = 3,548,065,898.45
  5. Step 5: Solve for x
    x = 3,548,065,898.45/68,047.71
  6. Step 6: Final answer
    x = 52,140.86

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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.