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Finding the Fourth Proportional to 29,408, 40,583.04 and 16,160

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Solution

The fourth proportional to 29,408, 40,583.04 and 16,160 is: 22,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408 : 40,583.04 = 16,160 : x
  2. Step 2: Convert to fraction form
    29,408/40,583.04 = 16,160/x
  3. Step 3: Cross multiply
    29,408x = 40,583.04 × 16,160
  4. Step 4: Simplify right side
    29,408x = 655,821,926.40
  5. Step 5: Solve for x
    x = 655,821,926.40/29,408
  6. Step 6: Final answer
    x = 22,300.80

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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.