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Finding the Fourth Proportional to 65,684.50, 90,644.97 and 35,876.50

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Solution

The fourth proportional to 65,684.50, 90,644.97 and 35,876.50 is: 49,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684.50 : 90,644.97 = 35,876.50 : x
  2. Step 2: Convert to fraction form
    65,684.50/90,644.97 = 35,876.50/x
  3. Step 3: Cross multiply
    65,684.50x = 90,644.97 × 35,876.50
  4. Step 4: Simplify right side
    65,684.50x = 3,252,024,266.21
  5. Step 5: Solve for x
    x = 3,252,024,266.21/65,684.50
  6. Step 6: Final answer
    x = 49,509.77

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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.