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Finding the Fourth Proportional to 64,946.38, 97,239.74 and 35,297.14

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Solution

The fourth proportional to 64,946.38, 97,239.74 and 35,297.14 is: 52,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,946.38 : 97,239.74 = 35,297.14 : x
  2. Step 2: Convert to fraction form
    64,946.38/97,239.74 = 35,297.14/x
  3. Step 3: Cross multiply
    64,946.38x = 97,239.74 × 35,297.14
  4. Step 4: Simplify right side
    64,946.38x = 3,432,284,716.34
  5. Step 5: Solve for x
    x = 3,432,284,716.34/64,946.38
  6. Step 6: Final answer
    x = 52,847.98

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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.