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Finding the Fourth Proportional to 38,208.40, 52,847.40 and 33,792.40

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Solution

The fourth proportional to 38,208.40, 52,847.40 and 33,792.40 is: 46,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208.40 : 52,847.40 = 33,792.40 : x
  2. Step 2: Convert to fraction form
    38,208.40/52,847.40 = 33,792.40/x
  3. Step 3: Cross multiply
    38,208.40x = 52,847.40 × 33,792.40
  4. Step 4: Simplify right side
    38,208.40x = 1,785,840,479.76
  5. Step 5: Solve for x
    x = 1,785,840,479.76/38,208.40
  6. Step 6: Final answer
    x = 46,739.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.