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Finding the Fourth Proportional to 65,841, 90,860.64 and 36,033

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Solution

The fourth proportional to 65,841, 90,860.64 and 36,033 is: 49,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841 : 90,860.64 = 36,033 : x
  2. Step 2: Convert to fraction form
    65,841/90,860.64 = 36,033/x
  3. Step 3: Cross multiply
    65,841x = 90,860.64 × 36,033
  4. Step 4: Simplify right side
    65,841x = 3,273,981,441.12
  5. Step 5: Solve for x
    x = 3,273,981,441.12/65,841
  6. Step 6: Final answer
    x = 49,725.57

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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.