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Finding the Fourth Proportional to 97,270.20, 145,797.30 and 38,086.20

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Solution

The fourth proportional to 97,270.20, 145,797.30 and 38,086.20 is: 57,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,270.20 : 145,797.30 = 38,086.20 : x
  2. Step 2: Convert to fraction form
    97,270.20/145,797.30 = 38,086.20/x
  3. Step 3: Cross multiply
    97,270.20x = 145,797.30 × 38,086.20
  4. Step 4: Simplify right side
    97,270.20x = 5,552,865,127.26
  5. Step 5: Solve for x
    x = 5,552,865,127.26/97,270.20
  6. Step 6: Final answer
    x = 57,087.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.