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Finding the Fourth Proportional to 52,056.36, 71,837.44 and 28,182.98

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Solution

The fourth proportional to 52,056.36, 71,837.44 and 28,182.98 is: 38,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056.36 : 71,837.44 = 28,182.98 : x
  2. Step 2: Convert to fraction form
    52,056.36/71,837.44 = 28,182.98/x
  3. Step 3: Cross multiply
    52,056.36x = 71,837.44 × 28,182.98
  4. Step 4: Simplify right side
    52,056.36x = 2,024,593,243.91
  5. Step 5: Solve for x
    x = 2,024,593,243.91/52,056.36
  6. Step 6: Final answer
    x = 38,892.33

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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.