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Finding the Fourth Proportional to 65,751.32, 90,736.52 and 37,457.22

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Solution

The fourth proportional to 65,751.32, 90,736.52 and 37,457.22 is: 51,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.32 : 90,736.52 = 37,457.22 : x
  2. Step 2: Convert to fraction form
    65,751.32/90,736.52 = 37,457.22/x
  3. Step 3: Cross multiply
    65,751.32x = 90,736.52 × 37,457.22
  4. Step 4: Simplify right side
    65,751.32x = 3,398,737,791.67
  5. Step 5: Solve for x
    x = 3,398,737,791.67/65,751.32
  6. Step 6: Final answer
    x = 51,690.79

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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.