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Finding the Fourth Proportional to 70,110.16, 96,703.92 and 41,794

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Solution

The fourth proportional to 70,110.16, 96,703.92 and 41,794 is: 57,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,110.16 : 96,703.92 = 41,794 : x
  2. Step 2: Convert to fraction form
    70,110.16/96,703.92 = 41,794/x
  3. Step 3: Cross multiply
    70,110.16x = 96,703.92 × 41,794
  4. Step 4: Simplify right side
    70,110.16x = 4,041,643,632.48
  5. Step 5: Solve for x
    x = 4,041,643,632.48/70,110.16
  6. Step 6: Final answer
    x = 57,647.05

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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.