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Finding the Fourth Proportional to 32,729.87, 49,097.63 and 9,037.42

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Solution

The fourth proportional to 32,729.87, 49,097.63 and 9,037.42 is: 13,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.87 : 49,097.63 = 9,037.42 : x
  2. Step 2: Convert to fraction form
    32,729.87/49,097.63 = 9,037.42/x
  3. Step 3: Cross multiply
    32,729.87x = 49,097.63 × 9,037.42
  4. Step 4: Simplify right side
    32,729.87x = 443,715,803.16
  5. Step 5: Solve for x
    x = 443,715,803.16/32,729.87
  6. Step 6: Final answer
    x = 13,556.91

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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.