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Finding the Fourth Proportional to 32,597.84, 48,889.80 and 9,224.48

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Solution

The fourth proportional to 32,597.84, 48,889.80 and 9,224.48 is: 13,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.84 : 48,889.80 = 9,224.48 : x
  2. Step 2: Convert to fraction form
    32,597.84/48,889.80 = 9,224.48/x
  3. Step 3: Cross multiply
    32,597.84x = 48,889.80 × 9,224.48
  4. Step 4: Simplify right side
    32,597.84x = 450,982,982.30
  5. Step 5: Solve for x
    x = 450,982,982.30/32,597.84
  6. Step 6: Final answer
    x = 13,834.75

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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.