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Finding the Fourth Proportional to 29,248, 40,369.44 and 16,680

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Solution

The fourth proportional to 29,248, 40,369.44 and 16,680 is: 23,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,248 : 40,369.44 = 16,680 : x
  2. Step 2: Convert to fraction form
    29,248/40,369.44 = 16,680/x
  3. Step 3: Cross multiply
    29,248x = 40,369.44 × 16,680
  4. Step 4: Simplify right side
    29,248x = 673,362,259.20
  5. Step 5: Solve for x
    x = 673,362,259.20/29,248
  6. Step 6: Final answer
    x = 23,022.51

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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.