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Finding the Fourth Proportional to 97,348, 146,022 and 23,476

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Solution

The fourth proportional to 97,348, 146,022 and 23,476 is: 35,214

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348 : 146,022 = 23,476 : x
  2. Step 2: Convert to fraction form
    97,348/146,022 = 23,476/x
  3. Step 3: Cross multiply
    97,348x = 146,022 × 23,476
  4. Step 4: Simplify right side
    97,348x = 3,428,012,472
  5. Step 5: Solve for x
    x = 3,428,012,472/97,348
  6. Step 6: Final answer
    x = 35,214

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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.