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Finding the Fourth Proportional to 29,325, 44,022.75 and 24,703.14

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Solution

The fourth proportional to 29,325, 44,022.75 and 24,703.14 is: 37,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325 : 44,022.75 = 24,703.14 : x
  2. Step 2: Convert to fraction form
    29,325/44,022.75 = 24,703.14/x
  3. Step 3: Cross multiply
    29,325x = 44,022.75 × 24,703.14
  4. Step 4: Simplify right side
    29,325x = 1,087,500,156.44
  5. Step 5: Solve for x
    x = 1,087,500,156.44/29,325
  6. Step 6: Final answer
    x = 37,084.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.