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Finding the Fourth Proportional to 30,939.80, 42,714.42 and 21,393.68

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Solution

The fourth proportional to 30,939.80, 42,714.42 and 21,393.68 is: 29,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939.80 : 42,714.42 = 21,393.68 : x
  2. Step 2: Convert to fraction form
    30,939.80/42,714.42 = 21,393.68/x
  3. Step 3: Cross multiply
    30,939.80x = 42,714.42 × 21,393.68
  4. Step 4: Simplify right side
    30,939.80x = 913,818,632.87
  5. Step 5: Solve for x
    x = 913,818,632.87/30,939.80
  6. Step 6: Final answer
    x = 29,535.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.