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Finding the Fourth Proportional to 70,797.24, 97,698.35 and 38,530.49

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Solution

The fourth proportional to 70,797.24, 97,698.35 and 38,530.49 is: 53,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797.24 : 97,698.35 = 38,530.49 : x
  2. Step 2: Convert to fraction form
    70,797.24/97,698.35 = 38,530.49/x
  3. Step 3: Cross multiply
    70,797.24x = 97,698.35 × 38,530.49
  4. Step 4: Simplify right side
    70,797.24x = 3,764,364,905.53
  5. Step 5: Solve for x
    x = 3,764,364,905.53/70,797.24
  6. Step 6: Final answer
    x = 53,171.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.