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Finding the Fourth Proportional to 42,714, 58,944.71 and 24,819.08

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Solution

The fourth proportional to 42,714, 58,944.71 and 24,819.08 is: 34,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714 : 58,944.71 = 24,819.08 : x
  2. Step 2: Convert to fraction form
    42,714/58,944.71 = 24,819.08/x
  3. Step 3: Cross multiply
    42,714x = 58,944.71 × 24,819.08
  4. Step 4: Simplify right side
    42,714x = 1,462,953,240.39
  5. Step 5: Solve for x
    x = 1,462,953,240.39/42,714
  6. Step 6: Final answer
    x = 34,249.97

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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.