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Finding the Fourth Proportional to 97,539, 146,308.57 and 23,667

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Solution

The fourth proportional to 97,539, 146,308.57 and 23,667 is: 35,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,539 : 146,308.57 = 23,667 : x
  2. Step 2: Convert to fraction form
    97,539/146,308.57 = 23,667/x
  3. Step 3: Cross multiply
    97,539x = 146,308.57 × 23,667
  4. Step 4: Simplify right side
    97,539x = 3,462,684,926.19
  5. Step 5: Solve for x
    x = 3,462,684,926.19/97,539
  6. Step 6: Final answer
    x = 35,500.52

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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.