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Finding the Fourth Proportional to 97,538, 146,307.07 and 23,666

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Solution

The fourth proportional to 97,538, 146,307.07 and 23,666 is: 35,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,538 : 146,307.07 = 23,666 : x
  2. Step 2: Convert to fraction form
    97,538/146,307.07 = 23,666/x
  3. Step 3: Cross multiply
    97,538x = 146,307.07 × 23,666
  4. Step 4: Simplify right side
    97,538x = 3,462,503,118.62
  5. Step 5: Solve for x
    x = 3,462,503,118.62/97,538
  6. Step 6: Final answer
    x = 35,499.02

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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.