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Finding the Fourth Proportional to 52,281.99, 72,149.31 and 28,408.14

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Solution

The fourth proportional to 52,281.99, 72,149.31 and 28,408.14 is: 39,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,281.99 : 72,149.31 = 28,408.14 : x
  2. Step 2: Convert to fraction form
    52,281.99/72,149.31 = 28,408.14/x
  3. Step 3: Cross multiply
    52,281.99x = 72,149.31 × 28,408.14
  4. Step 4: Simplify right side
    52,281.99x = 2,049,627,699.38
  5. Step 5: Solve for x
    x = 2,049,627,699.38/52,281.99
  6. Step 6: Final answer
    x = 39,203.32

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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.