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Finding the Fourth Proportional to 65,952.02, 91,012.86 and 35,736.64

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Solution

The fourth proportional to 65,952.02, 91,012.86 and 35,736.64 is: 49,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952.02 : 91,012.86 = 35,736.64 : x
  2. Step 2: Convert to fraction form
    65,952.02/91,012.86 = 35,736.64/x
  3. Step 3: Cross multiply
    65,952.02x = 91,012.86 × 35,736.64
  4. Step 4: Simplify right side
    65,952.02x = 3,252,493,813.19
  5. Step 5: Solve for x
    x = 3,252,493,813.19/65,952.02
  6. Step 6: Final answer
    x = 49,316.06

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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.