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Finding the Fourth Proportional to 29,526, 40,745.88 and 16,278

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Solution

The fourth proportional to 29,526, 40,745.88 and 16,278 is: 22,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,526 : 40,745.88 = 16,278 : x
  2. Step 2: Convert to fraction form
    29,526/40,745.88 = 16,278/x
  3. Step 3: Cross multiply
    29,526x = 40,745.88 × 16,278
  4. Step 4: Simplify right side
    29,526x = 663,261,434.64
  5. Step 5: Solve for x
    x = 663,261,434.64/29,526
  6. Step 6: Final answer
    x = 22,463.64

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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.