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Finding the Fourth Proportional to 52,093.16, 71,888.90 and 28,219.81

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Solution

The fourth proportional to 52,093.16, 71,888.90 and 28,219.81 is: 38,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.16 : 71,888.90 = 28,219.81 : x
  2. Step 2: Convert to fraction form
    52,093.16/71,888.90 = 28,219.81/x
  3. Step 3: Cross multiply
    52,093.16x = 71,888.90 × 28,219.81
  4. Step 4: Simplify right side
    52,093.16x = 2,028,691,099.11
  5. Step 5: Solve for x
    x = 2,028,691,099.11/52,093.16
  6. Step 6: Final answer
    x = 38,943.52

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Why These Related Problems?

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