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Finding the Fourth Proportional to 67,482.78, 101,202.36 and 22,492.14

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Solution

The fourth proportional to 67,482.78, 101,202.36 and 22,492.14 is: 33,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,482.78 : 101,202.36 = 22,492.14 : x
  2. Step 2: Convert to fraction form
    67,482.78/101,202.36 = 22,492.14/x
  3. Step 3: Cross multiply
    67,482.78x = 101,202.36 × 22,492.14
  4. Step 4: Simplify right side
    67,482.78x = 2,276,257,649.45
  5. Step 5: Solve for x
    x = 2,276,257,649.45/67,482.78
  6. Step 6: Final answer
    x = 33,730.94

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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.