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Finding the Fourth Proportional to 32,776.24, 49,164.30 and 8,152.24

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Solution

The fourth proportional to 32,776.24, 49,164.30 and 8,152.24 is: 12,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.24 : 49,164.30 = 8,152.24 : x
  2. Step 2: Convert to fraction form
    32,776.24/49,164.30 = 8,152.24/x
  3. Step 3: Cross multiply
    32,776.24x = 49,164.30 × 8,152.24
  4. Step 4: Simplify right side
    32,776.24x = 400,799,173.03
  5. Step 5: Solve for x
    x = 400,799,173.03/32,776.24
  6. Step 6: Final answer
    x = 12,228.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.