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Finding the Fourth Proportional to 31,779.37, 47,669.33 and 8,086.95

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Solution

The fourth proportional to 31,779.37, 47,669.33 and 8,086.95 is: 12,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.37 : 47,669.33 = 8,086.95 : x
  2. Step 2: Convert to fraction form
    31,779.37/47,669.33 = 8,086.95/x
  3. Step 3: Cross multiply
    31,779.37x = 47,669.33 × 8,086.95
  4. Step 4: Simplify right side
    31,779.37x = 385,499,508.46
  5. Step 5: Solve for x
    x = 385,499,508.46/31,779.37
  6. Step 6: Final answer
    x = 12,130.50

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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.