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Finding the Fourth Proportional to 42,982, 59,321.64 and 26,224.72

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Solution

The fourth proportional to 42,982, 59,321.64 and 26,224.72 is: 36,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,982 : 59,321.64 = 26,224.72 : x
  2. Step 2: Convert to fraction form
    42,982/59,321.64 = 26,224.72/x
  3. Step 3: Cross multiply
    42,982x = 59,321.64 × 26,224.72
  4. Step 4: Simplify right side
    42,982x = 1,555,693,398.94
  5. Step 5: Solve for x
    x = 1,555,693,398.94/42,982
  6. Step 6: Final answer
    x = 36,194.07

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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.