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Finding the Fourth Proportional to 32,551.50, 48,827.26 and 7,927.50

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Solution

The fourth proportional to 32,551.50, 48,827.26 and 7,927.50 is: 11,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.50 : 48,827.26 = 7,927.50 : x
  2. Step 2: Convert to fraction form
    32,551.50/48,827.26 = 7,927.50/x
  3. Step 3: Cross multiply
    32,551.50x = 48,827.26 × 7,927.50
  4. Step 4: Simplify right side
    32,551.50x = 387,078,103.65
  5. Step 5: Solve for x
    x = 387,078,103.65/32,551.50
  6. Step 6: Final answer
    x = 11,891.25

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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.