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Finding the Fourth Proportional to 59,852, 89,778 and 22,916

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Solution

The fourth proportional to 59,852, 89,778 and 22,916 is: 34,374

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,852 : 89,778 = 22,916 : x
  2. Step 2: Convert to fraction form
    59,852/89,778 = 22,916/x
  3. Step 3: Cross multiply
    59,852x = 89,778 × 22,916
  4. Step 4: Simplify right side
    59,852x = 2,057,352,648
  5. Step 5: Solve for x
    x = 2,057,352,648/59,852
  6. Step 6: Final answer
    x = 34,374

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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.