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Finding the Fourth Proportional to 98,696.96, 148,029.97 and 32,136.64

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Solution

The fourth proportional to 98,696.96, 148,029.97 and 32,136.64 is: 48,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,696.96 : 148,029.97 = 32,136.64 : x
  2. Step 2: Convert to fraction form
    98,696.96/148,029.97 = 32,136.64/x
  3. Step 3: Cross multiply
    98,696.96x = 148,029.97 × 32,136.64
  4. Step 4: Simplify right side
    98,696.96x = 4,757,185,855.10
  5. Step 5: Solve for x
    x = 4,757,185,855.10/98,696.96
  6. Step 6: Final answer
    x = 48,199.92

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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.