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Finding the Fourth Proportional to 70,015.78, 96,639.24 and 41,716

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Solution

The fourth proportional to 70,015.78, 96,639.24 and 41,716 is: 57,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,015.78 : 96,639.24 = 41,716 : x
  2. Step 2: Convert to fraction form
    70,015.78/96,639.24 = 41,716/x
  3. Step 3: Cross multiply
    70,015.78x = 96,639.24 × 41,716
  4. Step 4: Simplify right side
    70,015.78x = 4,031,402,535.84
  5. Step 5: Solve for x
    x = 4,031,402,535.84/70,015.78
  6. Step 6: Final answer
    x = 57,578.48

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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.