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Finding the Fourth Proportional to 52,122.36, 78,182.44 and 12,679.68

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Solution

The fourth proportional to 52,122.36, 78,182.44 and 12,679.68 is: 19,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122.36 : 78,182.44 = 12,679.68 : x
  2. Step 2: Convert to fraction form
    52,122.36/78,182.44 = 12,679.68/x
  3. Step 3: Cross multiply
    52,122.36x = 78,182.44 × 12,679.68
  4. Step 4: Simplify right side
    52,122.36x = 991,328,320.82
  5. Step 5: Solve for x
    x = 991,328,320.82/52,122.36
  6. Step 6: Final answer
    x = 19,019.25

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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.