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Finding the Fourth Proportional to 52,814.40, 79,229.28 and 17,764.08

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Solution

The fourth proportional to 52,814.40, 79,229.28 and 17,764.08 is: 26,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,814.40 : 79,229.28 = 17,764.08 : x
  2. Step 2: Convert to fraction form
    52,814.40/79,229.28 = 17,764.08/x
  3. Step 3: Cross multiply
    52,814.40x = 79,229.28 × 17,764.08
  4. Step 4: Simplify right side
    52,814.40x = 1,407,435,268.26
  5. Step 5: Solve for x
    x = 1,407,435,268.26/52,814.40
  6. Step 6: Final answer
    x = 26,648.70

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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.