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Finding the Fourth Proportional to 59,952, 82,733.76 and 33,456

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Solution

The fourth proportional to 59,952, 82,733.76 and 33,456 is: 46,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,952 : 82,733.76 = 33,456 : x
  2. Step 2: Convert to fraction form
    59,952/82,733.76 = 33,456/x
  3. Step 3: Cross multiply
    59,952x = 82,733.76 × 33,456
  4. Step 4: Simplify right side
    59,952x = 2,767,940,674.56
  5. Step 5: Solve for x
    x = 2,767,940,674.56/59,952
  6. Step 6: Final answer
    x = 46,169.28

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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.