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Finding the Fourth Proportional to 64,474.30, 96,713.88 and 17,730.82

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Solution

The fourth proportional to 64,474.30, 96,713.88 and 17,730.82 is: 26,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,474.30 : 96,713.88 = 17,730.82 : x
  2. Step 2: Convert to fraction form
    64,474.30/96,713.88 = 17,730.82/x
  3. Step 3: Cross multiply
    64,474.30x = 96,713.88 × 17,730.82
  4. Step 4: Simplify right side
    64,474.30x = 1,714,816,397.78
  5. Step 5: Solve for x
    x = 1,714,816,397.78/64,474.30
  6. Step 6: Final answer
    x = 26,596.90

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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.