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Finding the Fourth Proportional to 92,224.36, 138,355.98 and 29,890

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Solution

The fourth proportional to 92,224.36, 138,355.98 and 29,890 is: 44,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,224.36 : 138,355.98 = 29,890 : x
  2. Step 2: Convert to fraction form
    92,224.36/138,355.98 = 29,890/x
  3. Step 3: Cross multiply
    92,224.36x = 138,355.98 × 29,890
  4. Step 4: Simplify right side
    92,224.36x = 4,135,460,242.20
  5. Step 5: Solve for x
    x = 4,135,460,242.20/92,224.36
  6. Step 6: Final answer
    x = 44,841.30

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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.