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Finding the Fourth Proportional to 52,981.70, 79,423.14 and 17,896.82

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Solution

The fourth proportional to 52,981.70, 79,423.14 and 17,896.82 is: 26,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,981.70 : 79,423.14 = 17,896.82 : x
  2. Step 2: Convert to fraction form
    52,981.70/79,423.14 = 17,896.82/x
  3. Step 3: Cross multiply
    52,981.70x = 79,423.14 × 17,896.82
  4. Step 4: Simplify right side
    52,981.70x = 1,421,421,640.41
  5. Step 5: Solve for x
    x = 1,421,421,640.41/52,981.70
  6. Step 6: Final answer
    x = 26,828.54

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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.