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Finding the Fourth Proportional to 76,704.56, 105,852.02 and 42,713.46

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Solution

The fourth proportional to 76,704.56, 105,852.02 and 42,713.46 is: 58,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704.56 : 105,852.02 = 42,713.46 : x
  2. Step 2: Convert to fraction form
    76,704.56/105,852.02 = 42,713.46/x
  3. Step 3: Cross multiply
    76,704.56x = 105,852.02 × 42,713.46
  4. Step 4: Simplify right side
    76,704.56x = 4,521,305,808.62
  5. Step 5: Solve for x
    x = 4,521,305,808.62/76,704.56
  6. Step 6: Final answer
    x = 58,944.42

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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.