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Finding the Fourth Proportional to 100,584.48, 150,909.48 and 47,987.16

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Solution

The fourth proportional to 100,584.48, 150,909.48 and 47,987.16 is: 71,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584.48 : 150,909.48 = 47,987.16 : x
  2. Step 2: Convert to fraction form
    100,584.48/150,909.48 = 47,987.16/x
  3. Step 3: Cross multiply
    100,584.48x = 150,909.48 × 47,987.16
  4. Step 4: Simplify right side
    100,584.48x = 7,241,717,362.28
  5. Step 5: Solve for x
    x = 7,241,717,362.28/100,584.48
  6. Step 6: Final answer
    x = 71,996.37

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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.