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Finding the Fourth Proportional to 52,965.86, 79,448.66 and 33,258.24

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Solution

The fourth proportional to 52,965.86, 79,448.66 and 33,258.24 is: 49,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,965.86 : 79,448.66 = 33,258.24 : x
  2. Step 2: Convert to fraction form
    52,965.86/79,448.66 = 33,258.24/x
  3. Step 3: Cross multiply
    52,965.86x = 79,448.66 × 33,258.24
  4. Step 4: Simplify right side
    52,965.86x = 2,642,322,601.96
  5. Step 5: Solve for x
    x = 2,642,322,601.96/52,965.86
  6. Step 6: Final answer
    x = 49,887.28

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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.