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Finding the Fourth Proportional to 52,140.91, 78,222.75 and 18,857.50

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Solution

The fourth proportional to 52,140.91, 78,222.75 and 18,857.50 is: 28,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140.91 : 78,222.75 = 18,857.50 : x
  2. Step 2: Convert to fraction form
    52,140.91/78,222.75 = 18,857.50/x
  3. Step 3: Cross multiply
    52,140.91x = 78,222.75 × 18,857.50
  4. Step 4: Simplify right side
    52,140.91x = 1,475,085,022.72
  5. Step 5: Solve for x
    x = 1,475,085,022.72/52,140.91
  6. Step 6: Final answer
    x = 28,290.36

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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.