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Finding the Fourth Proportional to 101,843.68, 152,782.44 and 42,683.80

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Solution

The fourth proportional to 101,843.68, 152,782.44 and 42,683.80 is: 64,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,843.68 : 152,782.44 = 42,683.80 : x
  2. Step 2: Convert to fraction form
    101,843.68/152,782.44 = 42,683.80/x
  3. Step 3: Cross multiply
    101,843.68x = 152,782.44 × 42,683.80
  4. Step 4: Simplify right side
    101,843.68x = 6,521,335,112.47
  5. Step 5: Solve for x
    x = 6,521,335,112.47/101,843.68
  6. Step 6: Final answer
    x = 64,032.79

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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.