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Finding the Fourth Proportional to 32,835, 49,252.50 and 8,211

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Solution

The fourth proportional to 32,835, 49,252.50 and 8,211 is: 12,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835 : 49,252.50 = 8,211 : x
  2. Step 2: Convert to fraction form
    32,835/49,252.50 = 8,211/x
  3. Step 3: Cross multiply
    32,835x = 49,252.50 × 8,211
  4. Step 4: Simplify right side
    32,835x = 404,412,277.50
  5. Step 5: Solve for x
    x = 404,412,277.50/32,835
  6. Step 6: Final answer
    x = 12,316.50

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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.