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Finding the Fourth Proportional to 101,871.60, 152,808.44 and 30,794.80

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Solution

The fourth proportional to 101,871.60, 152,808.44 and 30,794.80 is: 46,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,871.60 : 152,808.44 = 30,794.80 : x
  2. Step 2: Convert to fraction form
    101,871.60/152,808.44 = 30,794.80/x
  3. Step 3: Cross multiply
    101,871.60x = 152,808.44 × 30,794.80
  4. Step 4: Simplify right side
    101,871.60x = 4,705,705,348.11
  5. Step 5: Solve for x
    x = 4,705,705,348.11/101,871.60
  6. Step 6: Final answer
    x = 46,192.51

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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.