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Finding the Fourth Proportional to 42,144.71, 63,226.17 and 22,420.40

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Solution

The fourth proportional to 42,144.71, 63,226.17 and 22,420.40 is: 33,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,144.71 : 63,226.17 = 22,420.40 : x
  2. Step 2: Convert to fraction form
    42,144.71/63,226.17 = 22,420.40/x
  3. Step 3: Cross multiply
    42,144.71x = 63,226.17 × 22,420.40
  4. Step 4: Simplify right side
    42,144.71x = 1,417,555,705.74
  5. Step 5: Solve for x
    x = 1,417,555,705.74/42,144.71
  6. Step 6: Final answer
    x = 33,635.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.