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Finding the Fourth Proportional to 101,592.27, 152,481.93 and 51,708

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Solution

The fourth proportional to 101,592.27, 152,481.93 and 51,708 is: 77,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,592.27 : 152,481.93 = 51,708 : x
  2. Step 2: Convert to fraction form
    101,592.27/152,481.93 = 51,708/x
  3. Step 3: Cross multiply
    101,592.27x = 152,481.93 × 51,708
  4. Step 4: Simplify right side
    101,592.27x = 7,884,535,636.44
  5. Step 5: Solve for x
    x = 7,884,535,636.44/101,592.27
  6. Step 6: Final answer
    x = 77,609.60

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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.