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Finding the Fourth Proportional to 82,533.44, 114,478.83 and 80,345.91

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Solution

The fourth proportional to 82,533.44, 114,478.83 and 80,345.91 is: 111,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.44 : 114,478.83 = 80,345.91 : x
  2. Step 2: Convert to fraction form
    82,533.44/114,478.83 = 80,345.91/x
  3. Step 3: Cross multiply
    82,533.44x = 114,478.83 × 80,345.91
  4. Step 4: Simplify right side
    82,533.44x = 9,197,905,772.09
  5. Step 5: Solve for x
    x = 9,197,905,772.09/82,533.44
  6. Step 6: Final answer
    x = 111,444.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.