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Finding the Fourth Proportional to 32,753.93, 49,136.99 and 10,564.98

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Solution

The fourth proportional to 32,753.93, 49,136.99 and 10,564.98 is: 15,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.93 : 49,136.99 = 10,564.98 : x
  2. Step 2: Convert to fraction form
    32,753.93/49,136.99 = 10,564.98/x
  3. Step 3: Cross multiply
    32,753.93x = 49,136.99 × 10,564.98
  4. Step 4: Simplify right side
    32,753.93x = 519,131,263.79
  5. Step 5: Solve for x
    x = 519,131,263.79/32,753.93
  6. Step 6: Final answer
    x = 15,849.44

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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.