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Finding the Fourth Proportional to 32,749.60, 49,121.58 and 13,022.84

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Solution

The fourth proportional to 32,749.60, 49,121.58 and 13,022.84 is: 19,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.60 : 49,121.58 = 13,022.84 : x
  2. Step 2: Convert to fraction form
    32,749.60/49,121.58 = 13,022.84/x
  3. Step 3: Cross multiply
    32,749.60x = 49,121.58 × 13,022.84
  4. Step 4: Simplify right side
    32,749.60x = 639,702,476.89
  5. Step 5: Solve for x
    x = 639,702,476.89/32,749.60
  6. Step 6: Final answer
    x = 19,533.14

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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.