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Finding the Fourth Proportional to 42,622.64, 58,819.38 and 24,728.24

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Solution

The fourth proportional to 42,622.64, 58,819.38 and 24,728.24 is: 34,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,622.64 : 58,819.38 = 24,728.24 : x
  2. Step 2: Convert to fraction form
    42,622.64/58,819.38 = 24,728.24/x
  3. Step 3: Cross multiply
    42,622.64x = 58,819.38 × 24,728.24
  4. Step 4: Simplify right side
    42,622.64x = 1,454,499,745.29
  5. Step 5: Solve for x
    x = 1,454,499,745.29/42,622.64
  6. Step 6: Final answer
    x = 34,125.05

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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.