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Finding the Fourth Proportional to 55,472.54, 76,533.41 and 31,582.31

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Solution

The fourth proportional to 55,472.54, 76,533.41 and 31,582.31 is: 43,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,472.54 : 76,533.41 = 31,582.31 : x
  2. Step 2: Convert to fraction form
    55,472.54/76,533.41 = 31,582.31/x
  3. Step 3: Cross multiply
    55,472.54x = 76,533.41 × 31,582.31
  4. Step 4: Simplify right side
    55,472.54x = 2,417,101,576.27
  5. Step 5: Solve for x
    x = 2,417,101,576.27/55,472.54
  6. Step 6: Final answer
    x = 43,572.94

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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.