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Finding the Fourth Proportional to 32,806.50, 49,209.75 and 8,182.50

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Solution

The fourth proportional to 32,806.50, 49,209.75 and 8,182.50 is: 12,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.50 : 49,209.75 = 8,182.50 : x
  2. Step 2: Convert to fraction form
    32,806.50/49,209.75 = 8,182.50/x
  3. Step 3: Cross multiply
    32,806.50x = 49,209.75 × 8,182.50
  4. Step 4: Simplify right side
    32,806.50x = 402,658,779.38
  5. Step 5: Solve for x
    x = 402,658,779.38/32,806.50
  6. Step 6: Final answer
    x = 12,273.75

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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.