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Finding the Fourth Proportional to 64,732.44, 97,098.66 and 37,011

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Solution

The fourth proportional to 64,732.44, 97,098.66 and 37,011 is: 55,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,732.44 : 97,098.66 = 37,011 : x
  2. Step 2: Convert to fraction form
    64,732.44/97,098.66 = 37,011/x
  3. Step 3: Cross multiply
    64,732.44x = 97,098.66 × 37,011
  4. Step 4: Simplify right side
    64,732.44x = 3,593,718,505.26
  5. Step 5: Solve for x
    x = 3,593,718,505.26/64,732.44
  6. Step 6: Final answer
    x = 55,516.50

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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.