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Finding the Fourth Proportional to 97,243, 134,195.36 and 52,531

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Solution

The fourth proportional to 97,243, 134,195.36 and 52,531 is: 72,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,243 : 134,195.36 = 52,531 : x
  2. Step 2: Convert to fraction form
    97,243/134,195.36 = 52,531/x
  3. Step 3: Cross multiply
    97,243x = 134,195.36 × 52,531
  4. Step 4: Simplify right side
    97,243x = 7,049,416,456.16
  5. Step 5: Solve for x
    x = 7,049,416,456.16/97,243
  6. Step 6: Final answer
    x = 72,492.79

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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.