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Finding the Fourth Proportional to 70,797.24, 97,698.15 and 38,965.46

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Solution

The fourth proportional to 70,797.24, 97,698.15 and 38,965.46 is: 53,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797.24 : 97,698.15 = 38,965.46 : x
  2. Step 2: Convert to fraction form
    70,797.24/97,698.15 = 38,965.46/x
  3. Step 3: Cross multiply
    70,797.24x = 97,698.15 × 38,965.46
  4. Step 4: Simplify right side
    70,797.24x = 3,806,852,867.41
  5. Step 5: Solve for x
    x = 3,806,852,867.41/70,797.24
  6. Step 6: Final answer
    x = 53,771.20

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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.