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Finding the Fourth Proportional to 32,633.46, 48,958.14 and 9,259.83

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Solution

The fourth proportional to 32,633.46, 48,958.14 and 9,259.83 is: 13,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.46 : 48,958.14 = 9,259.83 : x
  2. Step 2: Convert to fraction form
    32,633.46/48,958.14 = 9,259.83/x
  3. Step 3: Cross multiply
    32,633.46x = 48,958.14 × 9,259.83
  4. Step 4: Simplify right side
    32,633.46x = 453,344,053.52
  5. Step 5: Solve for x
    x = 453,344,053.52/32,633.46
  6. Step 6: Final answer
    x = 13,892.00

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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.