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Finding the Fourth Proportional to 76,738.61, 105,943.17 and 50,932.15

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Solution

The fourth proportional to 76,738.61, 105,943.17 and 50,932.15 is: 70,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738.61 : 105,943.17 = 50,932.15 : x
  2. Step 2: Convert to fraction form
    76,738.61/105,943.17 = 50,932.15/x
  3. Step 3: Cross multiply
    76,738.61x = 105,943.17 × 50,932.15
  4. Step 4: Simplify right side
    76,738.61x = 5,395,913,558.34
  5. Step 5: Solve for x
    x = 5,395,913,558.34/76,738.61
  6. Step 6: Final answer
    x = 70,315.50

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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.