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Finding the Fourth Proportional to 34,228.40, 51,342.60 and 24,824.30

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Solution

The fourth proportional to 34,228.40, 51,342.60 and 24,824.30 is: 37,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.40 : 51,342.60 = 24,824.30 : x
  2. Step 2: Convert to fraction form
    34,228.40/51,342.60 = 24,824.30/x
  3. Step 3: Cross multiply
    34,228.40x = 51,342.60 × 24,824.30
  4. Step 4: Simplify right side
    34,228.40x = 1,274,544,105.18
  5. Step 5: Solve for x
    x = 1,274,544,105.18/34,228.40
  6. Step 6: Final answer
    x = 37,236.45

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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.