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Finding the Fourth Proportional to 69,095.92, 103,632.80 and 24,714.40

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Solution

The fourth proportional to 69,095.92, 103,632.80 and 24,714.40 is: 37,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.92 : 103,632.80 = 24,714.40 : x
  2. Step 2: Convert to fraction form
    69,095.92/103,632.80 = 24,714.40/x
  3. Step 3: Cross multiply
    69,095.92x = 103,632.80 × 24,714.40
  4. Step 4: Simplify right side
    69,095.92x = 2,561,222,472.32
  5. Step 5: Solve for x
    x = 2,561,222,472.32/69,095.92
  6. Step 6: Final answer
    x = 37,067.64

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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.