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Finding the Fourth Proportional to 64,863, 97,262.64 and 25,409.52

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Solution

The fourth proportional to 64,863, 97,262.64 and 25,409.52 is: 38,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,863 : 97,262.64 = 25,409.52 : x
  2. Step 2: Convert to fraction form
    64,863/97,262.64 = 25,409.52/x
  3. Step 3: Cross multiply
    64,863x = 97,262.64 × 25,409.52
  4. Step 4: Simplify right side
    64,863x = 2,471,396,996.33
  5. Step 5: Solve for x
    x = 2,471,396,996.33/64,863
  6. Step 6: Final answer
    x = 38,101.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.