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Finding the Fourth Proportional to 32,006.94, 44,164.35 and 19,256.94

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Solution

The fourth proportional to 32,006.94, 44,164.35 and 19,256.94 is: 26,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.94 : 44,164.35 = 19,256.94 : x
  2. Step 2: Convert to fraction form
    32,006.94/44,164.35 = 19,256.94/x
  3. Step 3: Cross multiply
    32,006.94x = 44,164.35 × 19,256.94
  4. Step 4: Simplify right side
    32,006.94x = 850,470,238.09
  5. Step 5: Solve for x
    x = 850,470,238.09/32,006.94
  6. Step 6: Final answer
    x = 26,571.43

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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.