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Finding the Fourth Proportional to 76,685.84, 105,826.38 and 43,151.84

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Solution

The fourth proportional to 76,685.84, 105,826.38 and 43,151.84 is: 59,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,685.84 : 105,826.38 = 43,151.84 : x
  2. Step 2: Convert to fraction form
    76,685.84/105,826.38 = 43,151.84/x
  3. Step 3: Cross multiply
    76,685.84x = 105,826.38 × 43,151.84
  4. Step 4: Simplify right side
    76,685.84x = 4,566,603,017.54
  5. Step 5: Solve for x
    x = 4,566,603,017.54/76,685.84
  6. Step 6: Final answer
    x = 59,549.49

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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.