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Finding the Fourth Proportional to 43,507.53, 65,322.75 and 22,462.11

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Solution

The fourth proportional to 43,507.53, 65,322.75 and 22,462.11 is: 33,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,507.53 : 65,322.75 = 22,462.11 : x
  2. Step 2: Convert to fraction form
    43,507.53/65,322.75 = 22,462.11/x
  3. Step 3: Cross multiply
    43,507.53x = 65,322.75 × 22,462.11
  4. Step 4: Simplify right side
    43,507.53x = 1,467,286,880.24
  5. Step 5: Solve for x
    x = 1,467,286,880.24/43,507.53
  6. Step 6: Final answer
    x = 33,724.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.