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Finding the Fourth Proportional to 84,593.71, 116,686.47 and 54,418.33

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Solution

The fourth proportional to 84,593.71, 116,686.47 and 54,418.33 is: 75,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593.71 : 116,686.47 = 54,418.33 : x
  2. Step 2: Convert to fraction form
    84,593.71/116,686.47 = 54,418.33/x
  3. Step 3: Cross multiply
    84,593.71x = 116,686.47 × 54,418.33
  4. Step 4: Simplify right side
    84,593.71x = 6,349,882,831.00
  5. Step 5: Solve for x
    x = 6,349,882,831.00/84,593.71
  6. Step 6: Final answer
    x = 75,063.30

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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.