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Finding the Fourth Proportional to 76,238.26, 105,208.80 and 42,704.26

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Solution

The fourth proportional to 76,238.26, 105,208.80 and 42,704.26 is: 58,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.26 : 105,208.80 = 42,704.26 : x
  2. Step 2: Convert to fraction form
    76,238.26/105,208.80 = 42,704.26/x
  3. Step 3: Cross multiply
    76,238.26x = 105,208.80 × 42,704.26
  4. Step 4: Simplify right side
    76,238.26x = 4,492,863,949.49
  5. Step 5: Solve for x
    x = 4,492,863,949.49/76,238.26
  6. Step 6: Final answer
    x = 58,931.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.