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Finding the Fourth Proportional to 61,782.35, 85,236.50 and 36,289.52

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Solution

The fourth proportional to 61,782.35, 85,236.50 and 36,289.52 is: 50,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782.35 : 85,236.50 = 36,289.52 : x
  2. Step 2: Convert to fraction form
    61,782.35/85,236.50 = 36,289.52/x
  3. Step 3: Cross multiply
    61,782.35x = 85,236.50 × 36,289.52
  4. Step 4: Simplify right side
    61,782.35x = 3,093,191,655.66
  5. Step 5: Solve for x
    x = 3,093,191,655.66/61,782.35
  6. Step 6: Final answer
    x = 50,065.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.