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Finding the Fourth Proportional to 52,957.66, 73,045.31 and 33,828.95

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Solution

The fourth proportional to 52,957.66, 73,045.31 and 33,828.95 is: 46,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.66 : 73,045.31 = 33,828.95 : x
  2. Step 2: Convert to fraction form
    52,957.66/73,045.31 = 33,828.95/x
  3. Step 3: Cross multiply
    52,957.66x = 73,045.31 × 33,828.95
  4. Step 4: Simplify right side
    52,957.66x = 2,471,045,725.69
  5. Step 5: Solve for x
    x = 2,471,045,725.69/52,957.66
  6. Step 6: Final answer
    x = 46,660.78

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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.