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Finding the Fourth Proportional to 76,367.77, 105,388.10 and 42,376.39

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Solution

The fourth proportional to 76,367.77, 105,388.10 and 42,376.39 is: 58,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,367.77 : 105,388.10 = 42,376.39 : x
  2. Step 2: Convert to fraction form
    76,367.77/105,388.10 = 42,376.39/x
  3. Step 3: Cross multiply
    76,367.77x = 105,388.10 × 42,376.39
  4. Step 4: Simplify right side
    76,367.77x = 4,465,967,226.96
  5. Step 5: Solve for x
    x = 4,465,967,226.96/76,367.77
  6. Step 6: Final answer
    x = 58,479.74

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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.