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Finding the Fourth Proportional to 70,232.42, 96,897 and 39,996.30

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Solution

The fourth proportional to 70,232.42, 96,897 and 39,996.30 is: 55,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,232.42 : 96,897 = 39,996.30 : x
  2. Step 2: Convert to fraction form
    70,232.42/96,897 = 39,996.30/x
  3. Step 3: Cross multiply
    70,232.42x = 96,897 × 39,996.30
  4. Step 4: Simplify right side
    70,232.42x = 3,875,521,481.10
  5. Step 5: Solve for x
    x = 3,875,521,481.10/70,232.42
  6. Step 6: Final answer
    x = 55,181.37

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1.5x scale

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.