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Finding the Fourth Proportional to 32,903, 49,354.50 and 11,015

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Solution

The fourth proportional to 32,903, 49,354.50 and 11,015 is: 16,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903 : 49,354.50 = 11,015 : x
  2. Step 2: Convert to fraction form
    32,903/49,354.50 = 11,015/x
  3. Step 3: Cross multiply
    32,903x = 49,354.50 × 11,015
  4. Step 4: Simplify right side
    32,903x = 543,639,817.50
  5. Step 5: Solve for x
    x = 543,639,817.50/32,903
  6. Step 6: Final answer
    x = 16,522.50

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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.