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Finding the Fourth Proportional to 76,754.70, 105,914.25 and 42,759.72

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Solution

The fourth proportional to 76,754.70, 105,914.25 and 42,759.72 is: 59,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.70 : 105,914.25 = 42,759.72 : x
  2. Step 2: Convert to fraction form
    76,754.70/105,914.25 = 42,759.72/x
  3. Step 3: Cross multiply
    76,754.70x = 105,914.25 × 42,759.72
  4. Step 4: Simplify right side
    76,754.70x = 4,528,863,674.01
  5. Step 5: Solve for x
    x = 4,528,863,674.01/76,754.70
  6. Step 6: Final answer
    x = 59,004.38

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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.