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Finding the Fourth Proportional to 42,057.84, 58,039.87 and 22,937.64

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Solution

The fourth proportional to 42,057.84, 58,039.87 and 22,937.64 is: 31,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057.84 : 58,039.87 = 22,937.64 : x
  2. Step 2: Convert to fraction form
    42,057.84/58,039.87 = 22,937.64/x
  3. Step 3: Cross multiply
    42,057.84x = 58,039.87 × 22,937.64
  4. Step 4: Simplify right side
    42,057.84x = 1,331,297,529.02
  5. Step 5: Solve for x
    x = 1,331,297,529.02/42,057.84
  6. Step 6: Final answer
    x = 31,653.97

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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.