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Finding the Fourth Proportional to 47,313.52, 65,318.92 and 34,554

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Solution

The fourth proportional to 47,313.52, 65,318.92 and 34,554 is: 47,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,313.52 : 65,318.92 = 34,554 : x
  2. Step 2: Convert to fraction form
    47,313.52/65,318.92 = 34,554/x
  3. Step 3: Cross multiply
    47,313.52x = 65,318.92 × 34,554
  4. Step 4: Simplify right side
    47,313.52x = 2,257,029,961.68
  5. Step 5: Solve for x
    x = 2,257,029,961.68/47,313.52
  6. Step 6: Final answer
    x = 47,703.70

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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.