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Finding the Fourth Proportional to 64,142.80, 96,216.40 and 19,769.20

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Solution

The fourth proportional to 64,142.80, 96,216.40 and 19,769.20 is: 29,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142.80 : 96,216.40 = 19,769.20 : x
  2. Step 2: Convert to fraction form
    64,142.80/96,216.40 = 19,769.20/x
  3. Step 3: Cross multiply
    64,142.80x = 96,216.40 × 19,769.20
  4. Step 4: Simplify right side
    64,142.80x = 1,902,121,254.88
  5. Step 5: Solve for x
    x = 1,902,121,254.88/64,142.80
  6. Step 6: Final answer
    x = 29,654.48

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1.5x scale

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.