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Finding the Fourth Proportional to 55,055.94, 82,583.91 and 45,288.42

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Solution

The fourth proportional to 55,055.94, 82,583.91 and 45,288.42 is: 67,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,055.94 : 82,583.91 = 45,288.42 : x
  2. Step 2: Convert to fraction form
    55,055.94/82,583.91 = 45,288.42/x
  3. Step 3: Cross multiply
    55,055.94x = 82,583.91 × 45,288.42
  4. Step 4: Simplify right side
    55,055.94x = 3,740,094,801.32
  5. Step 5: Solve for x
    x = 3,740,094,801.32/55,055.94
  6. Step 6: Final answer
    x = 67,932.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.