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Finding the Fourth Proportional to 64,716.64, 97,098.32 and 22,602.92

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Solution

The fourth proportional to 64,716.64, 97,098.32 and 22,602.92 is: 33,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716.64 : 97,098.32 = 22,602.92 : x
  2. Step 2: Convert to fraction form
    64,716.64/97,098.32 = 22,602.92/x
  3. Step 3: Cross multiply
    64,716.64x = 97,098.32 × 22,602.92
  4. Step 4: Simplify right side
    64,716.64x = 2,194,705,559.09
  5. Step 5: Solve for x
    x = 2,194,705,559.09/64,716.64
  6. Step 6: Final answer
    x = 33,912.54

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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.