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Finding the Fourth Proportional to 42,125.80, 58,142.82 and 26,216.68

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Solution

The fourth proportional to 42,125.80, 58,142.82 and 26,216.68 is: 36,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,125.80 : 58,142.82 = 26,216.68 : x
  2. Step 2: Convert to fraction form
    42,125.80/58,142.82 = 26,216.68/x
  3. Step 3: Cross multiply
    42,125.80x = 58,142.82 × 26,216.68
  4. Step 4: Simplify right side
    42,125.80x = 1,524,311,706.24
  5. Step 5: Solve for x
    x = 1,524,311,706.24/42,125.80
  6. Step 6: Final answer
    x = 36,184.75

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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.