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Finding the Fourth Proportional to 52,714.65, 79,063.74 and 17,654.61

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Solution

The fourth proportional to 52,714.65, 79,063.74 and 17,654.61 is: 26,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714.65 : 79,063.74 = 17,654.61 : x
  2. Step 2: Convert to fraction form
    52,714.65/79,063.74 = 17,654.61/x
  3. Step 3: Cross multiply
    52,714.65x = 79,063.74 × 17,654.61
  4. Step 4: Simplify right side
    52,714.65x = 1,395,839,494.84
  5. Step 5: Solve for x
    x = 1,395,839,494.84/52,714.65
  6. Step 6: Final answer
    x = 26,479.16

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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.