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Finding the Fourth Proportional to 32,964.96, 49,448.80 and 9,591.39

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Solution

The fourth proportional to 32,964.96, 49,448.80 and 9,591.39 is: 14,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.96 : 49,448.80 = 9,591.39 : x
  2. Step 2: Convert to fraction form
    32,964.96/49,448.80 = 9,591.39/x
  3. Step 3: Cross multiply
    32,964.96x = 49,448.80 × 9,591.39
  4. Step 4: Simplify right side
    32,964.96x = 474,282,849.45
  5. Step 5: Solve for x
    x = 474,282,849.45/32,964.96
  6. Step 6: Final answer
    x = 14,387.49

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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.