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Finding the Fourth Proportional to 64,922.53, 97,378.94 and 22,802.98

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Solution

The fourth proportional to 64,922.53, 97,378.94 and 22,802.98 is: 34,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,922.53 : 97,378.94 = 22,802.98 : x
  2. Step 2: Convert to fraction form
    64,922.53/97,378.94 = 22,802.98/x
  3. Step 3: Cross multiply
    64,922.53x = 97,378.94 × 22,802.98
  4. Step 4: Simplify right side
    64,922.53x = 2,220,530,419.22
  5. Step 5: Solve for x
    x = 2,220,530,419.22/64,922.53
  6. Step 6: Final answer
    x = 34,202.77

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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.