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Finding the Fourth Proportional to 68,502.48, 102,591.90 and 47,363.82

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Solution

The fourth proportional to 68,502.48, 102,591.90 and 47,363.82 is: 70,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502.48 : 102,591.90 = 47,363.82 : x
  2. Step 2: Convert to fraction form
    68,502.48/102,591.90 = 47,363.82/x
  3. Step 3: Cross multiply
    68,502.48x = 102,591.90 × 47,363.82
  4. Step 4: Simplify right side
    68,502.48x = 4,859,144,285.06
  5. Step 5: Solve for x
    x = 4,859,144,285.06/68,502.48
  6. Step 6: Final answer
    x = 70,933.84

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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.