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Finding the Fourth Proportional to 42,731.36, 58,965.28 and 24,826

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Solution

The fourth proportional to 42,731.36, 58,965.28 and 24,826 is: 34,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,731.36 : 58,965.28 = 24,826 : x
  2. Step 2: Convert to fraction form
    42,731.36/58,965.28 = 24,826/x
  3. Step 3: Cross multiply
    42,731.36x = 58,965.28 × 24,826
  4. Step 4: Simplify right side
    42,731.36x = 1,463,872,041.28
  5. Step 5: Solve for x
    x = 1,463,872,041.28/42,731.36
  6. Step 6: Final answer
    x = 34,257.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.