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Finding the Fourth Proportional to 42,578.86, 58,760.64 and 23,715.98

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Solution

The fourth proportional to 42,578.86, 58,760.64 and 23,715.98 is: 32,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,578.86 : 58,760.64 = 23,715.98 : x
  2. Step 2: Convert to fraction form
    42,578.86/58,760.64 = 23,715.98/x
  3. Step 3: Cross multiply
    42,578.86x = 58,760.64 × 23,715.98
  4. Step 4: Simplify right side
    42,578.86x = 1,393,566,163.03
  5. Step 5: Solve for x
    x = 1,393,566,163.03/42,578.86
  6. Step 6: Final answer
    x = 32,729.06

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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.