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Finding the Fourth Proportional to 89,944, 134,922.54 and 34,540

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Solution

The fourth proportional to 89,944, 134,922.54 and 34,540 is: 51,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,944 : 134,922.54 = 34,540 : x
  2. Step 2: Convert to fraction form
    89,944/134,922.54 = 34,540/x
  3. Step 3: Cross multiply
    89,944x = 134,922.54 × 34,540
  4. Step 4: Simplify right side
    89,944x = 4,660,224,531.60
  5. Step 5: Solve for x
    x = 4,660,224,531.60/89,944
  6. Step 6: Final answer
    x = 51,812.51

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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.