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Finding the Fourth Proportional to 53,803.85, 74,205.09 and 47,758.50

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Solution

The fourth proportional to 53,803.85, 74,205.09 and 47,758.50 is: 65,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803.85 : 74,205.09 = 47,758.50 : x
  2. Step 2: Convert to fraction form
    53,803.85/74,205.09 = 47,758.50/x
  3. Step 3: Cross multiply
    53,803.85x = 74,205.09 × 47,758.50
  4. Step 4: Simplify right side
    53,803.85x = 3,543,923,790.77
  5. Step 5: Solve for x
    x = 3,543,923,790.77/53,803.85
  6. Step 6: Final answer
    x = 65,867.48

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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.