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Finding the Fourth Proportional to 64,234.76, 96,354.26 and 22,114.41

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Solution

The fourth proportional to 64,234.76, 96,354.26 and 22,114.41 is: 33,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,234.76 : 96,354.26 = 22,114.41 : x
  2. Step 2: Convert to fraction form
    64,234.76/96,354.26 = 22,114.41/x
  3. Step 3: Cross multiply
    64,234.76x = 96,354.26 × 22,114.41
  4. Step 4: Simplify right side
    64,234.76x = 2,130,817,610.89
  5. Step 5: Solve for x
    x = 2,130,817,610.89/64,234.76
  6. Step 6: Final answer
    x = 33,172.34

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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.