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Finding the Fourth Proportional to 65,813.10, 90,821.74 and 35,598.33

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Solution

The fourth proportional to 65,813.10, 90,821.74 and 35,598.33 is: 49,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.10 : 90,821.74 = 35,598.33 : x
  2. Step 2: Convert to fraction form
    65,813.10/90,821.74 = 35,598.33/x
  3. Step 3: Cross multiply
    65,813.10x = 90,821.74 × 35,598.33
  4. Step 4: Simplify right side
    65,813.10x = 3,233,102,093.70
  5. Step 5: Solve for x
    x = 3,233,102,093.70/65,813.10
  6. Step 6: Final answer
    x = 49,125.51

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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.