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Finding the Fourth Proportional to 97,380, 146,070 and 23,508

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Solution

The fourth proportional to 97,380, 146,070 and 23,508 is: 35,262

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,380 : 146,070 = 23,508 : x
  2. Step 2: Convert to fraction form
    97,380/146,070 = 23,508/x
  3. Step 3: Cross multiply
    97,380x = 146,070 × 23,508
  4. Step 4: Simplify right side
    97,380x = 3,433,813,560
  5. Step 5: Solve for x
    x = 3,433,813,560/97,380
  6. Step 6: Final answer
    x = 35,262

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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.