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Finding the Fourth Proportional to 52,746.80, 79,103.79 and 17,678.25

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Solution

The fourth proportional to 52,746.80, 79,103.79 and 17,678.25 is: 26,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,746.80 : 79,103.79 = 17,678.25 : x
  2. Step 2: Convert to fraction form
    52,746.80/79,103.79 = 17,678.25/x
  3. Step 3: Cross multiply
    52,746.80x = 79,103.79 × 17,678.25
  4. Step 4: Simplify right side
    52,746.80x = 1,398,416,575.57
  5. Step 5: Solve for x
    x = 1,398,416,575.57/52,746.80
  6. Step 6: Final answer
    x = 26,511.88

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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.