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Finding the Fourth Proportional to 52,056.51, 71,838.03 and 28,183.20

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Solution

The fourth proportional to 52,056.51, 71,838.03 and 28,183.20 is: 38,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056.51 : 71,838.03 = 28,183.20 : x
  2. Step 2: Convert to fraction form
    52,056.51/71,838.03 = 28,183.20/x
  3. Step 3: Cross multiply
    52,056.51x = 71,838.03 × 28,183.20
  4. Step 4: Simplify right side
    52,056.51x = 2,024,625,567.10
  5. Step 5: Solve for x
    x = 2,024,625,567.10/52,056.51
  6. Step 6: Final answer
    x = 38,892.84

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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.