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Finding the Fourth Proportional to 52,017.42, 78,026.16 and 12,574.54

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Solution

The fourth proportional to 52,017.42, 78,026.16 and 12,574.54 is: 18,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.42 : 78,026.16 = 12,574.54 : x
  2. Step 2: Convert to fraction form
    52,017.42/78,026.16 = 12,574.54/x
  3. Step 3: Cross multiply
    52,017.42x = 78,026.16 × 12,574.54
  4. Step 4: Simplify right side
    52,017.42x = 981,143,069.97
  5. Step 5: Solve for x
    x = 981,143,069.97/52,017.42
  6. Step 6: Final answer
    x = 18,861.82

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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.