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Finding the Fourth Proportional to 55,797.95, 83,660.27 and 31,783.07

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Solution

The fourth proportional to 55,797.95, 83,660.27 and 31,783.07 is: 47,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,797.95 : 83,660.27 = 31,783.07 : x
  2. Step 2: Convert to fraction form
    55,797.95/83,660.27 = 31,783.07/x
  3. Step 3: Cross multiply
    55,797.95x = 83,660.27 × 31,783.07
  4. Step 4: Simplify right side
    55,797.95x = 2,658,979,640.41
  5. Step 5: Solve for x
    x = 2,658,979,640.41/55,797.95
  6. Step 6: Final answer
    x = 47,653.72

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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.