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Finding the Fourth Proportional to 42,764.80, 59,013.84 and 23,902.24

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Solution

The fourth proportional to 42,764.80, 59,013.84 and 23,902.24 is: 32,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,764.80 : 59,013.84 = 23,902.24 : x
  2. Step 2: Convert to fraction form
    42,764.80/59,013.84 = 23,902.24/x
  3. Step 3: Cross multiply
    42,764.80x = 59,013.84 × 23,902.24
  4. Step 4: Simplify right side
    42,764.80x = 1,410,562,967.00
  5. Step 5: Solve for x
    x = 1,410,562,967.00/42,764.80
  6. Step 6: Final answer
    x = 32,984.21

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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.