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Finding the Fourth Proportional to 66,082.86, 91,193.49 and 35,867.93

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Solution

The fourth proportional to 66,082.86, 91,193.49 and 35,867.93 is: 49,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,082.86 : 91,193.49 = 35,867.93 : x
  2. Step 2: Convert to fraction form
    66,082.86/91,193.49 = 35,867.93/x
  3. Step 3: Cross multiply
    66,082.86x = 91,193.49 × 35,867.93
  4. Step 4: Simplify right side
    66,082.86x = 3,270,921,259.81
  5. Step 5: Solve for x
    x = 3,270,921,259.81/66,082.86
  6. Step 6: Final answer
    x = 49,497.27

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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.