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Finding the Fourth Proportional to 61,223.50, 91,835.25 and 24,287.50

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Solution

The fourth proportional to 61,223.50, 91,835.25 and 24,287.50 is: 36,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,223.50 : 91,835.25 = 24,287.50 : x
  2. Step 2: Convert to fraction form
    61,223.50/91,835.25 = 24,287.50/x
  3. Step 3: Cross multiply
    61,223.50x = 91,835.25 × 24,287.50
  4. Step 4: Simplify right side
    61,223.50x = 2,230,448,634.38
  5. Step 5: Solve for x
    x = 2,230,448,634.38/61,223.50
  6. Step 6: Final answer
    x = 36,431.25

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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.