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Finding the Fourth Proportional to 47,456.64, 65,496.64 and 27,313.12

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Solution

The fourth proportional to 47,456.64, 65,496.64 and 27,313.12 is: 37,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,456.64 : 65,496.64 = 27,313.12 : x
  2. Step 2: Convert to fraction form
    47,456.64/65,496.64 = 27,313.12/x
  3. Step 3: Cross multiply
    47,456.64x = 65,496.64 × 27,313.12
  4. Step 4: Simplify right side
    47,456.64x = 1,788,917,587.92
  5. Step 5: Solve for x
    x = 1,788,917,587.92/47,456.64
  6. Step 6: Final answer
    x = 37,695.83

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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.