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Finding the Fourth Proportional to 49,643.68, 74,464.80 and 20,060.80

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Solution

The fourth proportional to 49,643.68, 74,464.80 and 20,060.80 is: 30,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643.68 : 74,464.80 = 20,060.80 : x
  2. Step 2: Convert to fraction form
    49,643.68/74,464.80 = 20,060.80/x
  3. Step 3: Cross multiply
    49,643.68x = 74,464.80 × 20,060.80
  4. Step 4: Simplify right side
    49,643.68x = 1,493,823,459.84
  5. Step 5: Solve for x
    x = 1,493,823,459.84/49,643.68
  6. Step 6: Final answer
    x = 30,090.91

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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.