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Finding the Fourth Proportional to 57,826.40, 86,809.80 and 36,766.40

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Solution

The fourth proportional to 57,826.40, 86,809.80 and 36,766.40 is: 55,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,826.40 : 86,809.80 = 36,766.40 : x
  2. Step 2: Convert to fraction form
    57,826.40/86,809.80 = 36,766.40/x
  3. Step 3: Cross multiply
    57,826.40x = 86,809.80 × 36,766.40
  4. Step 4: Simplify right side
    57,826.40x = 3,191,683,830.72
  5. Step 5: Solve for x
    x = 3,191,683,830.72/57,826.40
  6. Step 6: Final answer
    x = 55,194.23

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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.