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Finding the Fourth Proportional to 73,784.48, 101,797.02 and 41,513.90

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Solution

The fourth proportional to 73,784.48, 101,797.02 and 41,513.90 is: 57,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784.48 : 101,797.02 = 41,513.90 : x
  2. Step 2: Convert to fraction form
    73,784.48/101,797.02 = 41,513.90/x
  3. Step 3: Cross multiply
    73,784.48x = 101,797.02 × 41,513.90
  4. Step 4: Simplify right side
    73,784.48x = 4,225,990,799.59
  5. Step 5: Solve for x
    x = 4,225,990,799.59/73,784.48
  6. Step 6: Final answer
    x = 57,274.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.