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Finding the Fourth Proportional to 32,714.88, 49,085.28 and 11,952.96

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Solution

The fourth proportional to 32,714.88, 49,085.28 and 11,952.96 is: 17,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.88 : 49,085.28 = 11,952.96 : x
  2. Step 2: Convert to fraction form
    32,714.88/49,085.28 = 11,952.96/x
  3. Step 3: Cross multiply
    32,714.88x = 49,085.28 × 11,952.96
  4. Step 4: Simplify right side
    32,714.88x = 586,714,388.43
  5. Step 5: Solve for x
    x = 586,714,388.43/32,714.88
  6. Step 6: Final answer
    x = 17,934.18

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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.