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Finding the Fourth Proportional to 29,588, 44,401.42 and 10,868.20

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Solution

The fourth proportional to 29,588, 44,401.42 and 10,868.20 is: 16,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588 : 44,401.42 = 10,868.20 : x
  2. Step 2: Convert to fraction form
    29,588/44,401.42 = 10,868.20/x
  3. Step 3: Cross multiply
    29,588x = 44,401.42 × 10,868.20
  4. Step 4: Simplify right side
    29,588x = 482,563,512.84
  5. Step 5: Solve for x
    x = 482,563,512.84/29,588
  6. Step 6: Final answer
    x = 16,309.43

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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.