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Finding the Fourth Proportional to 82,667.21, 113,975.11 and 53,544.17

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Solution

The fourth proportional to 82,667.21, 113,975.11 and 53,544.17 is: 73,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,667.21 : 113,975.11 = 53,544.17 : x
  2. Step 2: Convert to fraction form
    82,667.21/113,975.11 = 53,544.17/x
  3. Step 3: Cross multiply
    82,667.21x = 113,975.11 × 53,544.17
  4. Step 4: Simplify right side
    82,667.21x = 6,102,702,703.38
  5. Step 5: Solve for x
    x = 6,102,702,703.38/82,667.21
  6. Step 6: Final answer
    x = 73,822.53

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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.