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Finding the Fourth Proportional to 77,714.64, 107,290.44 and 51,295.44

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Solution

The fourth proportional to 77,714.64, 107,290.44 and 51,295.44 is: 70,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714.64 : 107,290.44 = 51,295.44 : x
  2. Step 2: Convert to fraction form
    77,714.64/107,290.44 = 51,295.44/x
  3. Step 3: Cross multiply
    77,714.64x = 107,290.44 × 51,295.44
  4. Step 4: Simplify right side
    77,714.64x = 5,503,510,327.59
  5. Step 5: Solve for x
    x = 5,503,510,327.59/77,714.64
  6. Step 6: Final answer
    x = 70,816.91

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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.