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Finding the Fourth Proportional to 47,288.54, 65,262.78 and 35,331.12

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Solution

The fourth proportional to 47,288.54, 65,262.78 and 35,331.12 is: 48,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,288.54 : 65,262.78 = 35,331.12 : x
  2. Step 2: Convert to fraction form
    47,288.54/65,262.78 = 35,331.12/x
  3. Step 3: Cross multiply
    47,288.54x = 65,262.78 × 35,331.12
  4. Step 4: Simplify right side
    47,288.54x = 2,305,807,111.71
  5. Step 5: Solve for x
    x = 2,305,807,111.71/47,288.54
  6. Step 6: Final answer
    x = 48,760.38

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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.