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Finding the Fourth Proportional to 32,238.25, 48,357.69 and 9,749.11

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Solution

The fourth proportional to 32,238.25, 48,357.69 and 9,749.11 is: 14,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.25 : 48,357.69 = 9,749.11 : x
  2. Step 2: Convert to fraction form
    32,238.25/48,357.69 = 9,749.11/x
  3. Step 3: Cross multiply
    32,238.25x = 48,357.69 × 9,749.11
  4. Step 4: Simplify right side
    32,238.25x = 471,444,148.62
  5. Step 5: Solve for x
    x = 471,444,148.62/32,238.25
  6. Step 6: Final answer
    x = 14,623.75

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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.