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Finding the Fourth Proportional to 101,651.15, 152,477.94 and 48,348.80

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Solution

The fourth proportional to 101,651.15, 152,477.94 and 48,348.80 is: 72,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,651.15 : 152,477.94 = 48,348.80 : x
  2. Step 2: Convert to fraction form
    101,651.15/152,477.94 = 48,348.80/x
  3. Step 3: Cross multiply
    101,651.15x = 152,477.94 × 48,348.80
  4. Step 4: Simplify right side
    101,651.15x = 7,372,125,416.18
  5. Step 5: Solve for x
    x = 7,372,125,416.18/101,651.15
  6. Step 6: Final answer
    x = 72,523.78

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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.