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Finding the Fourth Proportional to 30,770.76, 46,156.51 and 8,582.79

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Solution

The fourth proportional to 30,770.76, 46,156.51 and 8,582.79 is: 12,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.76 : 46,156.51 = 8,582.79 : x
  2. Step 2: Convert to fraction form
    30,770.76/46,156.51 = 8,582.79/x
  3. Step 3: Cross multiply
    30,770.76x = 46,156.51 × 8,582.79
  4. Step 4: Simplify right side
    30,770.76x = 396,151,632.46
  5. Step 5: Solve for x
    x = 396,151,632.46/30,770.76
  6. Step 6: Final answer
    x = 12,874.29

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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.