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Finding the Fourth Proportional to 172,692.14, 259,052.78 and 48,033.14

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Solution

The fourth proportional to 172,692.14, 259,052.78 and 48,033.14 is: 72,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,692.14 : 259,052.78 = 48,033.14 : x
  2. Step 2: Convert to fraction form
    172,692.14/259,052.78 = 48,033.14/x
  3. Step 3: Cross multiply
    172,692.14x = 259,052.78 × 48,033.14
  4. Step 4: Simplify right side
    172,692.14x = 12,443,118,449.13
  5. Step 5: Solve for x
    x = 12,443,118,449.13/172,692.14
  6. Step 6: Final answer
    x = 72,053.76

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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.