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Finding the Fourth Proportional to 82,533.36, 123,761.70 and 40,415.52

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Solution

The fourth proportional to 82,533.36, 123,761.70 and 40,415.52 is: 60,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.36 : 123,761.70 = 40,415.52 : x
  2. Step 2: Convert to fraction form
    82,533.36/123,761.70 = 40,415.52/x
  3. Step 3: Cross multiply
    82,533.36x = 123,761.70 × 40,415.52
  4. Step 4: Simplify right side
    82,533.36x = 5,001,893,461.58
  5. Step 5: Solve for x
    x = 5,001,893,461.58/82,533.36
  6. Step 6: Final answer
    x = 60,604.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.