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Finding the Fourth Proportional to 65,509.36, 90,311.38 and 55,397.24

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Solution

The fourth proportional to 65,509.36, 90,311.38 and 55,397.24 is: 76,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.36 : 90,311.38 = 55,397.24 : x
  2. Step 2: Convert to fraction form
    65,509.36/90,311.38 = 55,397.24/x
  3. Step 3: Cross multiply
    65,509.36x = 90,311.38 × 55,397.24
  4. Step 4: Simplify right side
    65,509.36x = 5,003,001,192.59
  5. Step 5: Solve for x
    x = 5,003,001,192.59/65,509.36
  6. Step 6: Final answer
    x = 76,370.78

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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.