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Finding the Fourth Proportional to 98,054.69, 146,952.81 and 38,858.09

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Solution

The fourth proportional to 98,054.69, 146,952.81 and 38,858.09 is: 58,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,054.69 : 146,952.81 = 38,858.09 : x
  2. Step 2: Convert to fraction form
    98,054.69/146,952.81 = 38,858.09/x
  3. Step 3: Cross multiply
    98,054.69x = 146,952.81 × 38,858.09
  4. Step 4: Simplify right side
    98,054.69x = 5,710,304,781.97
  5. Step 5: Solve for x
    x = 5,710,304,781.97/98,054.69
  6. Step 6: Final answer
    x = 58,235.92

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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.