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Finding the Fourth Proportional to 53,762.94, 80,660.81 and 27,486.14

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Solution

The fourth proportional to 53,762.94, 80,660.81 and 27,486.14 is: 41,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,762.94 : 80,660.81 = 27,486.14 : x
  2. Step 2: Convert to fraction form
    53,762.94/80,660.81 = 27,486.14/x
  3. Step 3: Cross multiply
    53,762.94x = 80,660.81 × 27,486.14
  4. Step 4: Simplify right side
    53,762.94x = 2,217,053,981.58
  5. Step 5: Solve for x
    x = 2,217,053,981.58/53,762.94
  6. Step 6: Final answer
    x = 41,237.59

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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.