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Finding the Fourth Proportional to 96,388.65, 133,016.31 and 53,947.18

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Solution

The fourth proportional to 96,388.65, 133,016.31 and 53,947.18 is: 74,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,388.65 : 133,016.31 = 53,947.18 : x
  2. Step 2: Convert to fraction form
    96,388.65/133,016.31 = 53,947.18/x
  3. Step 3: Cross multiply
    96,388.65x = 133,016.31 × 53,947.18
  4. Step 4: Simplify right side
    96,388.65x = 7,175,854,818.51
  5. Step 5: Solve for x
    x = 7,175,854,818.51/96,388.65
  6. Step 6: Final answer
    x = 74,447.09

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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.