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Finding the Fourth Proportional to 66,082.32, 91,193.37 and 35,867.65

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Solution

The fourth proportional to 66,082.32, 91,193.37 and 35,867.65 is: 49,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,082.32 : 91,193.37 = 35,867.65 : x
  2. Step 2: Convert to fraction form
    66,082.32/91,193.37 = 35,867.65/x
  3. Step 3: Cross multiply
    66,082.32x = 91,193.37 × 35,867.65
  4. Step 4: Simplify right side
    66,082.32x = 3,270,891,421.51
  5. Step 5: Solve for x
    x = 3,270,891,421.51/66,082.32
  6. Step 6: Final answer
    x = 49,497.22

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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.