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Finding the Fourth Proportional to 76,618.81, 105,738.72 and 42,634.88

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Solution

The fourth proportional to 76,618.81, 105,738.72 and 42,634.88 is: 58,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,618.81 : 105,738.72 = 42,634.88 : x
  2. Step 2: Convert to fraction form
    76,618.81/105,738.72 = 42,634.88/x
  3. Step 3: Cross multiply
    76,618.81x = 105,738.72 × 42,634.88
  4. Step 4: Simplify right side
    76,618.81x = 4,508,157,643.89
  5. Step 5: Solve for x
    x = 4,508,157,643.89/76,618.81
  6. Step 6: Final answer
    x = 58,838.78

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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.