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Finding the Fourth Proportional to 32,998.90, 49,502.80 and 9,625.14

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Solution

The fourth proportional to 32,998.90, 49,502.80 and 9,625.14 is: 14,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.90 : 49,502.80 = 9,625.14 : x
  2. Step 2: Convert to fraction form
    32,998.90/49,502.80 = 9,625.14/x
  3. Step 3: Cross multiply
    32,998.90x = 49,502.80 × 9,625.14
  4. Step 4: Simplify right side
    32,998.90x = 476,471,380.39
  5. Step 5: Solve for x
    x = 476,471,380.39/32,998.90
  6. Step 6: Final answer
    x = 14,439.01

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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.