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Finding the Fourth Proportional to 32,903.55, 49,352.27 and 9,213.24

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Solution

The fourth proportional to 32,903.55, 49,352.27 and 9,213.24 is: 13,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.55 : 49,352.27 = 9,213.24 : x
  2. Step 2: Convert to fraction form
    32,903.55/49,352.27 = 9,213.24/x
  3. Step 3: Cross multiply
    32,903.55x = 49,352.27 × 9,213.24
  4. Step 4: Simplify right side
    32,903.55x = 454,694,261.99
  5. Step 5: Solve for x
    x = 454,694,261.99/32,903.55
  6. Step 6: Final answer
    x = 13,819.00

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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.