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Finding the Fourth Proportional to 64,912.98, 97,365.80 and 22,795

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Solution

The fourth proportional to 64,912.98, 97,365.80 and 22,795 is: 34,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,912.98 : 97,365.80 = 22,795 : x
  2. Step 2: Convert to fraction form
    64,912.98/97,365.80 = 22,795/x
  3. Step 3: Cross multiply
    64,912.98x = 97,365.80 × 22,795
  4. Step 4: Simplify right side
    64,912.98x = 2,219,453,411
  5. Step 5: Solve for x
    x = 2,219,453,411/64,912.98
  6. Step 6: Final answer
    x = 34,191.21

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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.