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Finding the Fourth Proportional to 52,100.72, 71,898.86 and 28,227.98

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Solution

The fourth proportional to 52,100.72, 71,898.86 and 28,227.98 is: 38,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100.72 : 71,898.86 = 28,227.98 : x
  2. Step 2: Convert to fraction form
    52,100.72/71,898.86 = 28,227.98/x
  3. Step 3: Cross multiply
    52,100.72x = 71,898.86 × 28,227.98
  4. Step 4: Simplify right side
    52,100.72x = 2,029,559,582.10
  5. Step 5: Solve for x
    x = 2,029,559,582.10/52,100.72
  6. Step 6: Final answer
    x = 38,954.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.