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Finding the Fourth Proportional to 66,238.16, 91,409.45 and 36,024.23

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Solution

The fourth proportional to 66,238.16, 91,409.45 and 36,024.23 is: 49,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,238.16 : 91,409.45 = 36,024.23 : x
  2. Step 2: Convert to fraction form
    66,238.16/91,409.45 = 36,024.23/x
  3. Step 3: Cross multiply
    66,238.16x = 91,409.45 × 36,024.23
  4. Step 4: Simplify right side
    66,238.16x = 3,292,955,099.38
  5. Step 5: Solve for x
    x = 3,292,955,099.38/66,238.16
  6. Step 6: Final answer
    x = 49,713.87

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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.