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Finding the Fourth Proportional to 29,408.50, 40,583.73 and 16,160.50

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Solution

The fourth proportional to 29,408.50, 40,583.73 and 16,160.50 is: 22,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408.50 : 40,583.73 = 16,160.50 : x
  2. Step 2: Convert to fraction form
    29,408.50/40,583.73 = 16,160.50/x
  3. Step 3: Cross multiply
    29,408.50x = 40,583.73 × 16,160.50
  4. Step 4: Simplify right side
    29,408.50x = 655,853,368.67
  5. Step 5: Solve for x
    x = 655,853,368.67/29,408.50
  6. Step 6: Final answer
    x = 22,301.49

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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.