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Finding the Fourth Proportional to 64,178.80, 96,270.40 and 19,805.20

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Solution

The fourth proportional to 64,178.80, 96,270.40 and 19,805.20 is: 29,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,178.80 : 96,270.40 = 19,805.20 : x
  2. Step 2: Convert to fraction form
    64,178.80/96,270.40 = 19,805.20/x
  3. Step 3: Cross multiply
    64,178.80x = 96,270.40 × 19,805.20
  4. Step 4: Simplify right side
    64,178.80x = 1,906,654,526.08
  5. Step 5: Solve for x
    x = 1,906,654,526.08/64,178.80
  6. Step 6: Final answer
    x = 29,708.48

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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.