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Finding the Fourth Proportional to 52,982.70, 79,424.64 and 17,897.82

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Solution

The fourth proportional to 52,982.70, 79,424.64 and 17,897.82 is: 26,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982.70 : 79,424.64 = 17,897.82 : x
  2. Step 2: Convert to fraction form
    52,982.70/79,424.64 = 17,897.82/x
  3. Step 3: Cross multiply
    52,982.70x = 79,424.64 × 17,897.82
  4. Step 4: Simplify right side
    52,982.70x = 1,421,527,910.28
  5. Step 5: Solve for x
    x = 1,421,527,910.28/52,982.70
  6. Step 6: Final answer
    x = 26,830.04

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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.