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Finding the Fourth Proportional to 39,227, 58,840.50 and 11,525

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Solution

The fourth proportional to 39,227, 58,840.50 and 11,525 is: 17,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,227 : 58,840.50 = 11,525 : x
  2. Step 2: Convert to fraction form
    39,227/58,840.50 = 11,525/x
  3. Step 3: Cross multiply
    39,227x = 58,840.50 × 11,525
  4. Step 4: Simplify right side
    39,227x = 678,136,762.50
  5. Step 5: Solve for x
    x = 678,136,762.50/39,227
  6. Step 6: Final answer
    x = 17,287.50

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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.