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Finding the Fourth Proportional to 45,574.18, 68,363.70 and 14,407

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Solution

The fourth proportional to 45,574.18, 68,363.70 and 14,407 is: 21,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,574.18 : 68,363.70 = 14,407 : x
  2. Step 2: Convert to fraction form
    45,574.18/68,363.70 = 14,407/x
  3. Step 3: Cross multiply
    45,574.18x = 68,363.70 × 14,407
  4. Step 4: Simplify right side
    45,574.18x = 984,915,825.90
  5. Step 5: Solve for x
    x = 984,915,825.90/45,574.18
  6. Step 6: Final answer
    x = 21,611.27

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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.