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Finding the Fourth Proportional to 64,814.50, 97,231.47 and 23,271.22

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Solution

The fourth proportional to 64,814.50, 97,231.47 and 23,271.22 is: 34,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,814.50 : 97,231.47 = 23,271.22 : x
  2. Step 2: Convert to fraction form
    64,814.50/97,231.47 = 23,271.22/x
  3. Step 3: Cross multiply
    64,814.50x = 97,231.47 × 23,271.22
  4. Step 4: Simplify right side
    64,814.50x = 2,262,694,929.29
  5. Step 5: Solve for x
    x = 2,262,694,929.29/64,814.50
  6. Step 6: Final answer
    x = 34,910.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.