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Finding the Fourth Proportional to 75,365.94, 103,983.71 and 48,523.98

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Solution

The fourth proportional to 75,365.94, 103,983.71 and 48,523.98 is: 66,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,365.94 : 103,983.71 = 48,523.98 : x
  2. Step 2: Convert to fraction form
    75,365.94/103,983.71 = 48,523.98/x
  3. Step 3: Cross multiply
    75,365.94x = 103,983.71 × 48,523.98
  4. Step 4: Simplify right side
    75,365.94x = 5,045,703,221.75
  5. Step 5: Solve for x
    x = 5,045,703,221.75/75,365.94
  6. Step 6: Final answer
    x = 66,949.38

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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.