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Finding the Fourth Proportional to 49,602.90, 68,414.49 and 34,487.99

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Solution

The fourth proportional to 49,602.90, 68,414.49 and 34,487.99 is: 47,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,602.90 : 68,414.49 = 34,487.99 : x
  2. Step 2: Convert to fraction form
    49,602.90/68,414.49 = 34,487.99/x
  3. Step 3: Cross multiply
    49,602.90x = 68,414.49 × 34,487.99
  4. Step 4: Simplify right side
    49,602.90x = 2,359,478,246.98
  5. Step 5: Solve for x
    x = 2,359,478,246.98/49,602.90
  6. Step 6: Final answer
    x = 47,567.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.