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Finding the Fourth Proportional to 32,441, 48,661.50 and 7,817

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Solution

The fourth proportional to 32,441, 48,661.50 and 7,817 is: 11,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441 : 48,661.50 = 7,817 : x
  2. Step 2: Convert to fraction form
    32,441/48,661.50 = 7,817/x
  3. Step 3: Cross multiply
    32,441x = 48,661.50 × 7,817
  4. Step 4: Simplify right side
    32,441x = 380,386,945.50
  5. Step 5: Solve for x
    x = 380,386,945.50/32,441
  6. Step 6: Final answer
    x = 11,725.50

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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.