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Finding the Fourth Proportional to 64,900.96, 97,351.44 and 23,348

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Solution

The fourth proportional to 64,900.96, 97,351.44 and 23,348 is: 35,022

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,900.96 : 97,351.44 = 23,348 : x
  2. Step 2: Convert to fraction form
    64,900.96/97,351.44 = 23,348/x
  3. Step 3: Cross multiply
    64,900.96x = 97,351.44 × 23,348
  4. Step 4: Simplify right side
    64,900.96x = 2,272,961,421.12
  5. Step 5: Solve for x
    x = 2,272,961,421.12/64,900.96
  6. Step 6: Final answer
    x = 35,022

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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.