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Finding the Fourth Proportional to 97,474, 134,514.12 and 52,762

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Solution

The fourth proportional to 97,474, 134,514.12 and 52,762 is: 72,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,474 : 134,514.12 = 52,762 : x
  2. Step 2: Convert to fraction form
    97,474/134,514.12 = 52,762/x
  3. Step 3: Cross multiply
    97,474x = 134,514.12 × 52,762
  4. Step 4: Simplify right side
    97,474x = 7,097,233,999.44
  5. Step 5: Solve for x
    x = 7,097,233,999.44/97,474
  6. Step 6: Final answer
    x = 72,811.56

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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.