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Finding the Fourth Proportional to 59,874.91, 89,763.66 and 22,414

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Solution

The fourth proportional to 59,874.91, 89,763.66 and 22,414 is: 33,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,874.91 : 89,763.66 = 22,414 : x
  2. Step 2: Convert to fraction form
    59,874.91/89,763.66 = 22,414/x
  3. Step 3: Cross multiply
    59,874.91x = 89,763.66 × 22,414
  4. Step 4: Simplify right side
    59,874.91x = 2,011,962,675.24
  5. Step 5: Solve for x
    x = 2,011,962,675.24/59,874.91
  6. Step 6: Final answer
    x = 33,602.77

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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.