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Finding the Fourth Proportional to 52,201.38, 78,301.40 and 12,758.84

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Solution

The fourth proportional to 52,201.38, 78,301.40 and 12,758.84 is: 19,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.38 : 78,301.40 = 12,758.84 : x
  2. Step 2: Convert to fraction form
    52,201.38/78,301.40 = 12,758.84/x
  3. Step 3: Cross multiply
    52,201.38x = 78,301.40 × 12,758.84
  4. Step 4: Simplify right side
    52,201.38x = 999,034,579.07
  5. Step 5: Solve for x
    x = 999,034,579.07/52,201.38
  6. Step 6: Final answer
    x = 19,138.09

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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.