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Finding the Fourth Proportional to 37,477.64, 51,714.74 and 20,709.64

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Solution

The fourth proportional to 37,477.64, 51,714.74 and 20,709.64 is: 28,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.64 : 51,714.74 = 20,709.64 : x
  2. Step 2: Convert to fraction form
    37,477.64/51,714.74 = 20,709.64/x
  3. Step 3: Cross multiply
    37,477.64x = 51,714.74 × 20,709.64
  4. Step 4: Simplify right side
    37,477.64x = 1,070,993,648.09
  5. Step 5: Solve for x
    x = 1,070,993,648.09/37,477.64
  6. Step 6: Final answer
    x = 28,576.87

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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.