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Finding the Fourth Proportional to 29,602, 40,850.76 and 16,354

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Solution

The fourth proportional to 29,602, 40,850.76 and 16,354 is: 22,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602 : 40,850.76 = 16,354 : x
  2. Step 2: Convert to fraction form
    29,602/40,850.76 = 16,354/x
  3. Step 3: Cross multiply
    29,602x = 40,850.76 × 16,354
  4. Step 4: Simplify right side
    29,602x = 668,073,329.04
  5. Step 5: Solve for x
    x = 668,073,329.04/29,602
  6. Step 6: Final answer
    x = 22,568.52

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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.