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Finding the Fourth Proportional to 97,598.44, 146,293.96 and 38,425.96

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Solution

The fourth proportional to 97,598.44, 146,293.96 and 38,425.96 is: 57,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,598.44 : 146,293.96 = 38,425.96 : x
  2. Step 2: Convert to fraction form
    97,598.44/146,293.96 = 38,425.96/x
  3. Step 3: Cross multiply
    97,598.44x = 146,293.96 × 38,425.96
  4. Step 4: Simplify right side
    97,598.44x = 5,621,485,855.20
  5. Step 5: Solve for x
    x = 5,621,485,855.20/97,598.44
  6. Step 6: Final answer
    x = 57,598.11

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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.