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Finding the Fourth Proportional to 52,822.40, 79,230.72 and 17,758.40

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Solution

The fourth proportional to 52,822.40, 79,230.72 and 17,758.40 is: 26,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,822.40 : 79,230.72 = 17,758.40 : x
  2. Step 2: Convert to fraction form
    52,822.40/79,230.72 = 17,758.40/x
  3. Step 3: Cross multiply
    52,822.40x = 79,230.72 × 17,758.40
  4. Step 4: Simplify right side
    52,822.40x = 1,407,010,818.05
  5. Step 5: Solve for x
    x = 1,407,010,818.05/52,822.40
  6. Step 6: Final answer
    x = 26,636.63

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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.