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Finding the Fourth Proportional to 70,883.27, 97,821.16 and 39,053.30

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Solution

The fourth proportional to 70,883.27, 97,821.16 and 39,053.30 is: 53,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,883.27 : 97,821.16 = 39,053.30 : x
  2. Step 2: Convert to fraction form
    70,883.27/97,821.16 = 39,053.30/x
  3. Step 3: Cross multiply
    70,883.27x = 97,821.16 × 39,053.30
  4. Step 4: Simplify right side
    70,883.27x = 3,820,239,107.83
  5. Step 5: Solve for x
    x = 3,820,239,107.83/70,883.27
  6. Step 6: Final answer
    x = 53,894.79

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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.