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Finding the Fourth Proportional to 64,962, 97,443 and 15,714

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Solution

The fourth proportional to 64,962, 97,443 and 15,714 is: 23,571

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,962 : 97,443 = 15,714 : x
  2. Step 2: Convert to fraction form
    64,962/97,443 = 15,714/x
  3. Step 3: Cross multiply
    64,962x = 97,443 × 15,714
  4. Step 4: Simplify right side
    64,962x = 1,531,219,302
  5. Step 5: Solve for x
    x = 1,531,219,302/64,962
  6. Step 6: Final answer
    x = 23,571

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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.