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Finding the Fourth Proportional to 55,984.60, 77,264.20 and 41,812.84

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Solution

The fourth proportional to 55,984.60, 77,264.20 and 41,812.84 is: 57,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984.60 : 77,264.20 = 41,812.84 : x
  2. Step 2: Convert to fraction form
    55,984.60/77,264.20 = 41,812.84/x
  3. Step 3: Cross multiply
    55,984.60x = 77,264.20 × 41,812.84
  4. Step 4: Simplify right side
    55,984.60x = 3,230,635,632.33
  5. Step 5: Solve for x
    x = 3,230,635,632.33/55,984.60
  6. Step 6: Final answer
    x = 57,705.79

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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.