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Finding the Fourth Proportional to 52,505.78, 78,758.94 and 13,062.90

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Solution

The fourth proportional to 52,505.78, 78,758.94 and 13,062.90 is: 19,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,505.78 : 78,758.94 = 13,062.90 : x
  2. Step 2: Convert to fraction form
    52,505.78/78,758.94 = 13,062.90/x
  3. Step 3: Cross multiply
    52,505.78x = 78,758.94 × 13,062.90
  4. Step 4: Simplify right side
    52,505.78x = 1,028,820,157.33
  5. Step 5: Solve for x
    x = 1,028,820,157.33/52,505.78
  6. Step 6: Final answer
    x = 19,594.42

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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.