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Finding the Fourth Proportional to 63,193.76, 94,755.36 and 39,770

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Solution

The fourth proportional to 63,193.76, 94,755.36 and 39,770 is: 59,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,193.76 : 94,755.36 = 39,770 : x
  2. Step 2: Convert to fraction form
    63,193.76/94,755.36 = 39,770/x
  3. Step 3: Cross multiply
    63,193.76x = 94,755.36 × 39,770
  4. Step 4: Simplify right side
    63,193.76x = 3,768,420,667.20
  5. Step 5: Solve for x
    x = 3,768,420,667.20/63,193.76
  6. Step 6: Final answer
    x = 59,632.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.