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Finding the Fourth Proportional to 81,053.61, 121,497.34 and 33,696.18

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Solution

The fourth proportional to 81,053.61, 121,497.34 and 33,696.18 is: 50,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053.61 : 121,497.34 = 33,696.18 : x
  2. Step 2: Convert to fraction form
    81,053.61/121,497.34 = 33,696.18/x
  3. Step 3: Cross multiply
    81,053.61x = 121,497.34 × 33,696.18
  4. Step 4: Simplify right side
    81,053.61x = 4,093,995,970.16
  5. Step 5: Solve for x
    x = 4,093,995,970.16/81,053.61
  6. Step 6: Final answer
    x = 50,509.73

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Why These Related Problems?

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