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Finding the Fourth Proportional to 53,395.68, 80,093.40 and 50,148

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Solution

The fourth proportional to 53,395.68, 80,093.40 and 50,148 is: 75,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,395.68 : 80,093.40 = 50,148 : x
  2. Step 2: Convert to fraction form
    53,395.68/80,093.40 = 50,148/x
  3. Step 3: Cross multiply
    53,395.68x = 80,093.40 × 50,148
  4. Step 4: Simplify right side
    53,395.68x = 4,016,523,823.20
  5. Step 5: Solve for x
    x = 4,016,523,823.20/53,395.68
  6. Step 6: Final answer
    x = 75,221.89

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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.