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Finding the Fourth Proportional to 59,856, 89,796.96 and 22,920

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Solution

The fourth proportional to 59,856, 89,796.96 and 22,920 is: 34,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,856 : 89,796.96 = 22,920 : x
  2. Step 2: Convert to fraction form
    59,856/89,796.96 = 22,920/x
  3. Step 3: Cross multiply
    59,856x = 89,796.96 × 22,920
  4. Step 4: Simplify right side
    59,856x = 2,058,146,323.20
  5. Step 5: Solve for x
    x = 2,058,146,323.20/59,856
  6. Step 6: Final answer
    x = 34,384.96

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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.