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Finding the Fourth Proportional to 38,491.50, 53,118.43 and 20,827.50

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Solution

The fourth proportional to 38,491.50, 53,118.43 and 20,827.50 is: 28,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.50 : 53,118.43 = 20,827.50 : x
  2. Step 2: Convert to fraction form
    38,491.50/53,118.43 = 20,827.50/x
  3. Step 3: Cross multiply
    38,491.50x = 53,118.43 × 20,827.50
  4. Step 4: Simplify right side
    38,491.50x = 1,106,324,100.83
  5. Step 5: Solve for x
    x = 1,106,324,100.83/38,491.50
  6. Step 6: Final answer
    x = 28,742.04

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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.