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Finding the Fourth Proportional to 97,497, 146,246.30 and 23,625

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Solution

The fourth proportional to 97,497, 146,246.30 and 23,625 is: 35,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497 : 146,246.30 = 23,625 : x
  2. Step 2: Convert to fraction form
    97,497/146,246.30 = 23,625/x
  3. Step 3: Cross multiply
    97,497x = 146,246.30 × 23,625
  4. Step 4: Simplify right side
    97,497x = 3,455,068,837.50
  5. Step 5: Solve for x
    x = 3,455,068,837.50/97,497
  6. Step 6: Final answer
    x = 35,437.69

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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.