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Finding the Fourth Proportional to 101,691.50, 152,297.28 and 51,647.49

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Solution

The fourth proportional to 101,691.50, 152,297.28 and 51,647.49 is: 77,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,691.50 : 152,297.28 = 51,647.49 : x
  2. Step 2: Convert to fraction form
    101,691.50/152,297.28 = 51,647.49/x
  3. Step 3: Cross multiply
    101,691.50x = 152,297.28 × 51,647.49
  4. Step 4: Simplify right side
    101,691.50x = 7,865,772,245.83
  5. Step 5: Solve for x
    x = 7,865,772,245.83/101,691.50
  6. Step 6: Final answer
    x = 77,349.36

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1.5x scale

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.