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Finding the Fourth Proportional to 52,005.26, 78,008.09 and 12,562.31

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Solution

The fourth proportional to 52,005.26, 78,008.09 and 12,562.31 is: 18,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.26 : 78,008.09 = 12,562.31 : x
  2. Step 2: Convert to fraction form
    52,005.26/78,008.09 = 12,562.31/x
  3. Step 3: Cross multiply
    52,005.26x = 78,008.09 × 12,562.31
  4. Step 4: Simplify right side
    52,005.26x = 979,961,356.24
  5. Step 5: Solve for x
    x = 979,961,356.24/52,005.26
  6. Step 6: Final answer
    x = 18,843.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.