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Finding the Fourth Proportional to 42,414.56, 63,639.84 and 22,688

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Solution

The fourth proportional to 42,414.56, 63,639.84 and 22,688 is: 34,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414.56 : 63,639.84 = 22,688 : x
  2. Step 2: Convert to fraction form
    42,414.56/63,639.84 = 22,688/x
  3. Step 3: Cross multiply
    42,414.56x = 63,639.84 × 22,688
  4. Step 4: Simplify right side
    42,414.56x = 1,443,860,689.92
  5. Step 5: Solve for x
    x = 1,443,860,689.92/42,414.56
  6. Step 6: Final answer
    x = 34,041.63

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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.