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Finding the Fourth Proportional to 32,682.95, 49,025.01 and 9,309.99

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Solution

The fourth proportional to 32,682.95, 49,025.01 and 9,309.99 is: 13,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.95 : 49,025.01 = 9,309.99 : x
  2. Step 2: Convert to fraction form
    32,682.95/49,025.01 = 9,309.99/x
  3. Step 3: Cross multiply
    32,682.95x = 49,025.01 × 9,309.99
  4. Step 4: Simplify right side
    32,682.95x = 456,422,352.85
  5. Step 5: Solve for x
    x = 456,422,352.85/32,682.95
  6. Step 6: Final answer
    x = 13,965.15

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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.