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Finding the Fourth Proportional to 49,143, 67,818.78 and 27,923.16

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Solution

The fourth proportional to 49,143, 67,818.78 and 27,923.16 is: 38,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143 : 67,818.78 = 27,923.16 : x
  2. Step 2: Convert to fraction form
    49,143/67,818.78 = 27,923.16/x
  3. Step 3: Cross multiply
    49,143x = 67,818.78 × 27,923.16
  4. Step 4: Simplify right side
    49,143x = 1,893,714,644.94
  5. Step 5: Solve for x
    x = 1,893,714,644.94/49,143
  6. Step 6: Final answer
    x = 38,534.78

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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.