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Finding the Fourth Proportional to 71,783.58, 107,685.22 and 24,385.95

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Solution

The fourth proportional to 71,783.58, 107,685.22 and 24,385.95 is: 36,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.58 : 107,685.22 = 24,385.95 : x
  2. Step 2: Convert to fraction form
    71,783.58/107,685.22 = 24,385.95/x
  3. Step 3: Cross multiply
    71,783.58x = 107,685.22 × 24,385.95
  4. Step 4: Simplify right side
    71,783.58x = 2,626,006,390.66
  5. Step 5: Solve for x
    x = 2,626,006,390.66/71,783.58
  6. Step 6: Final answer
    x = 36,582.27

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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.