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Finding the Fourth Proportional to 70,963.44, 97,928.22 and 38,698.44

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Solution

The fourth proportional to 70,963.44, 97,928.22 and 38,698.44 is: 53,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963.44 : 97,928.22 = 38,698.44 : x
  2. Step 2: Convert to fraction form
    70,963.44/97,928.22 = 38,698.44/x
  3. Step 3: Cross multiply
    70,963.44x = 97,928.22 × 38,698.44
  4. Step 4: Simplify right side
    70,963.44x = 3,789,669,345.98
  5. Step 5: Solve for x
    x = 3,789,669,345.98/70,963.44
  6. Step 6: Final answer
    x = 53,403.12

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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.