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Finding the Fourth Proportional to 64,857.44, 97,286.16 and 37,136

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Solution

The fourth proportional to 64,857.44, 97,286.16 and 37,136 is: 55,704

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,857.44 : 97,286.16 = 37,136 : x
  2. Step 2: Convert to fraction form
    64,857.44/97,286.16 = 37,136/x
  3. Step 3: Cross multiply
    64,857.44x = 97,286.16 × 37,136
  4. Step 4: Simplify right side
    64,857.44x = 3,612,818,837.76
  5. Step 5: Solve for x
    x = 3,612,818,837.76/64,857.44
  6. Step 6: Final answer
    x = 55,704

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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.