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Finding the Fourth Proportional to 37,123.84, 51,231.84 and 20,357.12

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Solution

The fourth proportional to 37,123.84, 51,231.84 and 20,357.12 is: 28,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123.84 : 51,231.84 = 20,357.12 : x
  2. Step 2: Convert to fraction form
    37,123.84/51,231.84 = 20,357.12/x
  3. Step 3: Cross multiply
    37,123.84x = 51,231.84 × 20,357.12
  4. Step 4: Simplify right side
    37,123.84x = 1,042,932,714.70
  5. Step 5: Solve for x
    x = 1,042,932,714.70/37,123.84
  6. Step 6: Final answer
    x = 28,093.34

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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.