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Finding the Fourth Proportional to 48,692.22, 73,037.88 and 15,412.20

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Solution

The fourth proportional to 48,692.22, 73,037.88 and 15,412.20 is: 23,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,692.22 : 73,037.88 = 15,412.20 : x
  2. Step 2: Convert to fraction form
    48,692.22/73,037.88 = 15,412.20/x
  3. Step 3: Cross multiply
    48,692.22x = 73,037.88 × 15,412.20
  4. Step 4: Simplify right side
    48,692.22x = 1,125,674,414.14
  5. Step 5: Solve for x
    x = 1,125,674,414.14/48,692.22
  6. Step 6: Final answer
    x = 23,118.16

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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.