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Finding the Fourth Proportional to 65,509.29, 90,393.71 and 36,825.03

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Solution

The fourth proportional to 65,509.29, 90,393.71 and 36,825.03 is: 50,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.29 : 90,393.71 = 36,825.03 : x
  2. Step 2: Convert to fraction form
    65,509.29/90,393.71 = 36,825.03/x
  3. Step 3: Cross multiply
    65,509.29x = 90,393.71 × 36,825.03
  4. Step 4: Simplify right side
    65,509.29x = 3,328,750,898.44
  5. Step 5: Solve for x
    x = 3,328,750,898.44/65,509.29
  6. Step 6: Final answer
    x = 50,813.42

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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.