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Finding the Fourth Proportional to 76,494.66, 105,533.13 and 56,399.34

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Solution

The fourth proportional to 76,494.66, 105,533.13 and 56,399.34 is: 77,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.66 : 105,533.13 = 56,399.34 : x
  2. Step 2: Convert to fraction form
    76,494.66/105,533.13 = 56,399.34/x
  3. Step 3: Cross multiply
    76,494.66x = 105,533.13 × 56,399.34
  4. Step 4: Simplify right side
    76,494.66x = 5,951,998,880.13
  5. Step 5: Solve for x
    x = 5,951,998,880.13/76,494.66
  6. Step 6: Final answer
    x = 77,809.34

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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.