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Finding the Fourth Proportional to 65,995.81, 91,065.51 and 37,319.38

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Solution

The fourth proportional to 65,995.81, 91,065.51 and 37,319.38 is: 51,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,995.81 : 91,065.51 = 37,319.38 : x
  2. Step 2: Convert to fraction form
    65,995.81/91,065.51 = 37,319.38/x
  3. Step 3: Cross multiply
    65,995.81x = 91,065.51 × 37,319.38
  4. Step 4: Simplify right side
    65,995.81x = 3,398,508,372.58
  5. Step 5: Solve for x
    x = 3,398,508,372.58/65,995.81
  6. Step 6: Final answer
    x = 51,495.82

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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.