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Finding the Fourth Proportional to 54,146.16, 74,724.03 and 30,272.83

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Solution

The fourth proportional to 54,146.16, 74,724.03 and 30,272.83 is: 41,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146.16 : 74,724.03 = 30,272.83 : x
  2. Step 2: Convert to fraction form
    54,146.16/74,724.03 = 30,272.83/x
  3. Step 3: Cross multiply
    54,146.16x = 74,724.03 × 30,272.83
  4. Step 4: Simplify right side
    54,146.16x = 2,262,107,670.29
  5. Step 5: Solve for x
    x = 2,262,107,670.29/54,146.16
  6. Step 6: Final answer
    x = 41,777.80

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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.