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Finding the Fourth Proportional to 49,714.32, 74,590.92 and 18,552

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Solution

The fourth proportional to 49,714.32, 74,590.92 and 18,552 is: 27,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,714.32 : 74,590.92 = 18,552 : x
  2. Step 2: Convert to fraction form
    49,714.32/74,590.92 = 18,552/x
  3. Step 3: Cross multiply
    49,714.32x = 74,590.92 × 18,552
  4. Step 4: Simplify right side
    49,714.32x = 1,383,810,747.84
  5. Step 5: Solve for x
    x = 1,383,810,747.84/49,714.32
  6. Step 6: Final answer
    x = 27,835.25

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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.