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Finding the Fourth Proportional to 97,376, 146,064 and 23,504

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Solution

The fourth proportional to 97,376, 146,064 and 23,504 is: 35,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,376 : 146,064 = 23,504 : x
  2. Step 2: Convert to fraction form
    97,376/146,064 = 23,504/x
  3. Step 3: Cross multiply
    97,376x = 146,064 × 23,504
  4. Step 4: Simplify right side
    97,376x = 3,433,088,256
  5. Step 5: Solve for x
    x = 3,433,088,256/97,376
  6. Step 6: Final answer
    x = 35,256

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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.