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Finding the Fourth Proportional to 70,095.11, 96,730 and 39,879.78

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Solution

The fourth proportional to 70,095.11, 96,730 and 39,879.78 is: 55,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,095.11 : 96,730 = 39,879.78 : x
  2. Step 2: Convert to fraction form
    70,095.11/96,730 = 39,879.78/x
  3. Step 3: Cross multiply
    70,095.11x = 96,730 × 39,879.78
  4. Step 4: Simplify right side
    70,095.11x = 3,857,571,119.40
  5. Step 5: Solve for x
    x = 3,857,571,119.40/70,095.11
  6. Step 6: Final answer
    x = 55,033.38

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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.