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Finding the Fourth Proportional to 53,664.66, 74,053.50 and 29,789.46

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Solution

The fourth proportional to 53,664.66, 74,053.50 and 29,789.46 is: 41,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,664.66 : 74,053.50 = 29,789.46 : x
  2. Step 2: Convert to fraction form
    53,664.66/74,053.50 = 29,789.46/x
  3. Step 3: Cross multiply
    53,664.66x = 74,053.50 × 29,789.46
  4. Step 4: Simplify right side
    53,664.66x = 2,206,013,776.11
  5. Step 5: Solve for x
    x = 2,206,013,776.11/53,664.66
  6. Step 6: Final answer
    x = 41,107.38

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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.