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Finding the Fourth Proportional to 42,762.89, 59,015.67 and 24,857.84

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Solution

The fourth proportional to 42,762.89, 59,015.67 and 24,857.84 is: 34,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,762.89 : 59,015.67 = 24,857.84 : x
  2. Step 2: Convert to fraction form
    42,762.89/59,015.67 = 24,857.84/x
  3. Step 3: Cross multiply
    42,762.89x = 59,015.67 × 24,857.84
  4. Step 4: Simplify right side
    42,762.89x = 1,467,002,028.03
  5. Step 5: Solve for x
    x = 1,467,002,028.03/42,762.89
  6. Step 6: Final answer
    x = 34,305.50

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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.