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Finding the Fourth Proportional to 97,776, 146,664 and 23,904

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Solution

The fourth proportional to 97,776, 146,664 and 23,904 is: 35,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776 : 146,664 = 23,904 : x
  2. Step 2: Convert to fraction form
    97,776/146,664 = 23,904/x
  3. Step 3: Cross multiply
    97,776x = 146,664 × 23,904
  4. Step 4: Simplify right side
    97,776x = 3,505,856,256
  5. Step 5: Solve for x
    x = 3,505,856,256/97,776
  6. Step 6: Final answer
    x = 35,856

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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.