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Finding the Fourth Proportional to 32,738.70, 49,109.81 and 9,365.70

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Solution

The fourth proportional to 32,738.70, 49,109.81 and 9,365.70 is: 14,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738.70 : 49,109.81 = 9,365.70 : x
  2. Step 2: Convert to fraction form
    32,738.70/49,109.81 = 9,365.70/x
  3. Step 3: Cross multiply
    32,738.70x = 49,109.81 × 9,365.70
  4. Step 4: Simplify right side
    32,738.70x = 459,947,700.69
  5. Step 5: Solve for x
    x = 459,947,700.69/32,738.70
  6. Step 6: Final answer
    x = 14,049.05

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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.