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Finding the Fourth Proportional to 30,412.52, 41,998.14 and 28,755.86

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Solution

The fourth proportional to 30,412.52, 41,998.14 and 28,755.86 is: 39,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.52 : 41,998.14 = 28,755.86 : x
  2. Step 2: Convert to fraction form
    30,412.52/41,998.14 = 28,755.86/x
  3. Step 3: Cross multiply
    30,412.52x = 41,998.14 × 28,755.86
  4. Step 4: Simplify right side
    30,412.52x = 1,207,692,424.11
  5. Step 5: Solve for x
    x = 1,207,692,424.11/30,412.52
  6. Step 6: Final answer
    x = 39,710.38

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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.