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Finding the Fourth Proportional to 37,018, 51,084.84 and 20,251.36

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Solution

The fourth proportional to 37,018, 51,084.84 and 20,251.36 is: 27,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,018 : 51,084.84 = 20,251.36 : x
  2. Step 2: Convert to fraction form
    37,018/51,084.84 = 20,251.36/x
  3. Step 3: Cross multiply
    37,018x = 51,084.84 × 20,251.36
  4. Step 4: Simplify right side
    37,018x = 1,034,537,485.38
  5. Step 5: Solve for x
    x = 1,034,537,485.38/37,018
  6. Step 6: Final answer
    x = 27,946.88

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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.