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Finding the Fourth Proportional to 99,804.44, 137,724.26 and 54,473.42

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Solution

The fourth proportional to 99,804.44, 137,724.26 and 54,473.42 is: 75,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804.44 : 137,724.26 = 54,473.42 : x
  2. Step 2: Convert to fraction form
    99,804.44/137,724.26 = 54,473.42/x
  3. Step 3: Cross multiply
    99,804.44x = 137,724.26 × 54,473.42
  4. Step 4: Simplify right side
    99,804.44x = 7,502,311,459.17
  5. Step 5: Solve for x
    x = 7,502,311,459.17/99,804.44
  6. Step 6: Final answer
    x = 75,170.12

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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.