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Finding the Fourth Proportional to 32,447.25, 48,670.92 and 7,823.25

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Solution

The fourth proportional to 32,447.25, 48,670.92 and 7,823.25 is: 11,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.25 : 48,670.92 = 7,823.25 : x
  2. Step 2: Convert to fraction form
    32,447.25/48,670.92 = 7,823.25/x
  3. Step 3: Cross multiply
    32,447.25x = 48,670.92 × 7,823.25
  4. Step 4: Simplify right side
    32,447.25x = 380,764,774.89
  5. Step 5: Solve for x
    x = 380,764,774.89/32,447.25
  6. Step 6: Final answer
    x = 11,734.89

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1.5x scale

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.