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Finding the Fourth Proportional to 65,695.36, 90,652.26 and 37,016.32

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Solution

The fourth proportional to 65,695.36, 90,652.26 and 37,016.32 is: 51,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.36 : 90,652.26 = 37,016.32 : x
  2. Step 2: Convert to fraction form
    65,695.36/90,652.26 = 37,016.32/x
  3. Step 3: Cross multiply
    65,695.36x = 90,652.26 × 37,016.32
  4. Step 4: Simplify right side
    65,695.36x = 3,355,613,064.88
  5. Step 5: Solve for x
    x = 3,355,613,064.88/65,695.36
  6. Step 6: Final answer
    x = 51,078.39

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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.