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Finding the Fourth Proportional to 37,845.50, 52,228.42 and 21,078.50

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Solution

The fourth proportional to 37,845.50, 52,228.42 and 21,078.50 is: 29,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,845.50 : 52,228.42 = 21,078.50 : x
  2. Step 2: Convert to fraction form
    37,845.50/52,228.42 = 21,078.50/x
  3. Step 3: Cross multiply
    37,845.50x = 52,228.42 × 21,078.50
  4. Step 4: Simplify right side
    37,845.50x = 1,100,896,750.97
  5. Step 5: Solve for x
    x = 1,100,896,750.97/37,845.50
  6. Step 6: Final answer
    x = 29,089.24

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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.