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Finding the Fourth Proportional to 32,445, 48,667.50 and 7,821

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Solution

The fourth proportional to 32,445, 48,667.50 and 7,821 is: 11,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445 : 48,667.50 = 7,821 : x
  2. Step 2: Convert to fraction form
    32,445/48,667.50 = 7,821/x
  3. Step 3: Cross multiply
    32,445x = 48,667.50 × 7,821
  4. Step 4: Simplify right side
    32,445x = 380,628,517.50
  5. Step 5: Solve for x
    x = 380,628,517.50/32,445
  6. Step 6: Final answer
    x = 11,731.50

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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.