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Finding the Fourth Proportional to 104,685.86, 156,933.77 and 38,078.91

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Solution

The fourth proportional to 104,685.86, 156,933.77 and 38,078.91 is: 57,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,685.86 : 156,933.77 = 38,078.91 : x
  2. Step 2: Convert to fraction form
    104,685.86/156,933.77 = 38,078.91/x
  3. Step 3: Cross multiply
    104,685.86x = 156,933.77 × 38,078.91
  4. Step 4: Simplify right side
    104,685.86x = 5,975,866,903.79
  5. Step 5: Solve for x
    x = 5,975,866,903.79/104,685.86
  6. Step 6: Final answer
    x = 57,083.80

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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.