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Finding the Fourth Proportional to 32,682.76, 49,032.31 and 9,309.20

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Solution

The fourth proportional to 32,682.76, 49,032.31 and 9,309.20 is: 13,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.76 : 49,032.31 = 9,309.20 : x
  2. Step 2: Convert to fraction form
    32,682.76/49,032.31 = 9,309.20/x
  3. Step 3: Cross multiply
    32,682.76x = 49,032.31 × 9,309.20
  4. Step 4: Simplify right side
    32,682.76x = 456,451,311.82
  5. Step 5: Solve for x
    x = 456,451,311.82/32,682.76
  6. Step 6: Final answer
    x = 13,966.12

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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.