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Finding the Fourth Proportional to 42,415.56, 63,641.34 and 22,689

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Solution

The fourth proportional to 42,415.56, 63,641.34 and 22,689 is: 34,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,415.56 : 63,641.34 = 22,689 : x
  2. Step 2: Convert to fraction form
    42,415.56/63,641.34 = 22,689/x
  3. Step 3: Cross multiply
    42,415.56x = 63,641.34 × 22,689
  4. Step 4: Simplify right side
    42,415.56x = 1,443,958,363.26
  5. Step 5: Solve for x
    x = 1,443,958,363.26/42,415.56
  6. Step 6: Final answer
    x = 34,043.13

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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.