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Finding the Fourth Proportional to 49,419.56, 74,145.80 and 32,844.80

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Solution

The fourth proportional to 49,419.56, 74,145.80 and 32,844.80 is: 49,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,419.56 : 74,145.80 = 32,844.80 : x
  2. Step 2: Convert to fraction form
    49,419.56/74,145.80 = 32,844.80/x
  3. Step 3: Cross multiply
    49,419.56x = 74,145.80 × 32,844.80
  4. Step 4: Simplify right side
    49,419.56x = 2,435,303,971.84
  5. Step 5: Solve for x
    x = 2,435,303,971.84/49,419.56
  6. Step 6: Final answer
    x = 49,278.14

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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.