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Finding the Fourth Proportional to 42,375.36, 58,464.48 and 24,468

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Solution

The fourth proportional to 42,375.36, 58,464.48 and 24,468 is: 33,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,375.36 : 58,464.48 = 24,468 : x
  2. Step 2: Convert to fraction form
    42,375.36/58,464.48 = 24,468/x
  3. Step 3: Cross multiply
    42,375.36x = 58,464.48 × 24,468
  4. Step 4: Simplify right side
    42,375.36x = 1,430,508,896.64
  5. Step 5: Solve for x
    x = 1,430,508,896.64/42,375.36
  6. Step 6: Final answer
    x = 33,758.04

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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.