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Finding the Fourth Proportional to 38,362.34, 52,954.89 and 29,981.54

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Solution

The fourth proportional to 38,362.34, 52,954.89 and 29,981.54 is: 41,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362.34 : 52,954.89 = 29,981.54 : x
  2. Step 2: Convert to fraction form
    38,362.34/52,954.89 = 29,981.54/x
  3. Step 3: Cross multiply
    38,362.34x = 52,954.89 × 29,981.54
  4. Step 4: Simplify right side
    38,362.34x = 1,587,669,152.73
  5. Step 5: Solve for x
    x = 1,587,669,152.73/38,362.34
  6. Step 6: Final answer
    x = 41,386.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.