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Finding the Fourth Proportional to 32,814.60, 49,222.26 and 10,627.80

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Solution

The fourth proportional to 32,814.60, 49,222.26 and 10,627.80 is: 15,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814.60 : 49,222.26 = 10,627.80 : x
  2. Step 2: Convert to fraction form
    32,814.60/49,222.26 = 10,627.80/x
  3. Step 3: Cross multiply
    32,814.60x = 49,222.26 × 10,627.80
  4. Step 4: Simplify right side
    32,814.60x = 523,124,334.83
  5. Step 5: Solve for x
    x = 523,124,334.83/32,814.60
  6. Step 6: Final answer
    x = 15,941.82

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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.