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Finding the Fourth Proportional to 66,072.53, 91,180.16 and 35,857.86

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Solution

The fourth proportional to 66,072.53, 91,180.16 and 35,857.86 is: 49,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,072.53 : 91,180.16 = 35,857.86 : x
  2. Step 2: Convert to fraction form
    66,072.53/91,180.16 = 35,857.86/x
  3. Step 3: Cross multiply
    66,072.53x = 91,180.16 × 35,857.86
  4. Step 4: Simplify right side
    66,072.53x = 3,269,525,232.77
  5. Step 5: Solve for x
    x = 3,269,525,232.77/66,072.53
  6. Step 6: Final answer
    x = 49,483.89

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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.