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Finding the Fourth Proportional to 59,760, 82,468.80 and 33,264

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Solution

The fourth proportional to 59,760, 82,468.80 and 33,264 is: 45,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,760 : 82,468.80 = 33,264 : x
  2. Step 2: Convert to fraction form
    59,760/82,468.80 = 33,264/x
  3. Step 3: Cross multiply
    59,760x = 82,468.80 × 33,264
  4. Step 4: Simplify right side
    59,760x = 2,743,242,163.20
  5. Step 5: Solve for x
    x = 2,743,242,163.20/59,760
  6. Step 6: Final answer
    x = 45,904.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.