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Finding the Fourth Proportional to 42,097.43, 58,093.59 and 22,977.59

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Solution

The fourth proportional to 42,097.43, 58,093.59 and 22,977.59 is: 31,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,097.43 : 58,093.59 = 22,977.59 : x
  2. Step 2: Convert to fraction form
    42,097.43/58,093.59 = 22,977.59/x
  3. Step 3: Cross multiply
    42,097.43x = 58,093.59 × 22,977.59
  4. Step 4: Simplify right side
    42,097.43x = 1,334,850,359.10
  5. Step 5: Solve for x
    x = 1,334,850,359.10/42,097.43
  6. Step 6: Final answer
    x = 31,708.59

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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.