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Finding the Fourth Proportional to 65,893.53, 90,932.94 and 35,678.88

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Solution

The fourth proportional to 65,893.53, 90,932.94 and 35,678.88 is: 49,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.53 : 90,932.94 = 35,678.88 : x
  2. Step 2: Convert to fraction form
    65,893.53/90,932.94 = 35,678.88/x
  3. Step 3: Cross multiply
    65,893.53x = 90,932.94 × 35,678.88
  4. Step 4: Simplify right side
    65,893.53x = 3,244,385,454.31
  5. Step 5: Solve for x
    x = 3,244,385,454.31/65,893.53
  6. Step 6: Final answer
    x = 49,236.78

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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.