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Finding the Fourth Proportional to 52,114.86, 71,916.59 and 28,241.03

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Solution

The fourth proportional to 52,114.86, 71,916.59 and 28,241.03 is: 38,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.86 : 71,916.59 = 28,241.03 : x
  2. Step 2: Convert to fraction form
    52,114.86/71,916.59 = 28,241.03/x
  3. Step 3: Cross multiply
    52,114.86x = 71,916.59 × 28,241.03
  4. Step 4: Simplify right side
    52,114.86x = 2,030,998,074.90
  5. Step 5: Solve for x
    x = 2,030,998,074.90/52,114.86
  6. Step 6: Final answer
    x = 38,971.57

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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.