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Finding the Fourth Proportional to 97,542, 134,606.27 and 54,522.34

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Solution

The fourth proportional to 97,542, 134,606.27 and 54,522.34 is: 75,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,542 : 134,606.27 = 54,522.34 : x
  2. Step 2: Convert to fraction form
    97,542/134,606.27 = 54,522.34/x
  3. Step 3: Cross multiply
    97,542x = 134,606.27 × 54,522.34
  4. Step 4: Simplify right side
    97,542x = 7,339,048,618.86
  5. Step 5: Solve for x
    x = 7,339,048,618.86/97,542
  6. Step 6: Final answer
    x = 75,239.88

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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.