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Finding the Fourth Proportional to 38,150.92, 52,626.54 and 30,605.68

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Solution

The fourth proportional to 38,150.92, 52,626.54 and 30,605.68 is: 42,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,150.92 : 52,626.54 = 30,605.68 : x
  2. Step 2: Convert to fraction form
    38,150.92/52,626.54 = 30,605.68/x
  3. Step 3: Cross multiply
    38,150.92x = 52,626.54 × 30,605.68
  4. Step 4: Simplify right side
    38,150.92x = 1,610,671,042.75
  5. Step 5: Solve for x
    x = 1,610,671,042.75/38,150.92
  6. Step 6: Final answer
    x = 42,218.41

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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.