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Finding the Fourth Proportional to 65,834.50, 90,851.64 and 36,026.50

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Solution

The fourth proportional to 65,834.50, 90,851.64 and 36,026.50 is: 49,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,834.50 : 90,851.64 = 36,026.50 : x
  2. Step 2: Convert to fraction form
    65,834.50/90,851.64 = 36,026.50/x
  3. Step 3: Cross multiply
    65,834.50x = 90,851.64 × 36,026.50
  4. Step 4: Simplify right side
    65,834.50x = 3,273,066,608.46
  5. Step 5: Solve for x
    x = 3,273,066,608.46/65,834.50
  6. Step 6: Final answer
    x = 49,716.59

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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.