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Finding the Fourth Proportional to 65,858, 90,884.04 and 36,050

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Solution

The fourth proportional to 65,858, 90,884.04 and 36,050 is: 49,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,858 : 90,884.04 = 36,050 : x
  2. Step 2: Convert to fraction form
    65,858/90,884.04 = 36,050/x
  3. Step 3: Cross multiply
    65,858x = 90,884.04 × 36,050
  4. Step 4: Simplify right side
    65,858x = 3,276,369,642
  5. Step 5: Solve for x
    x = 3,276,369,642/65,858
  6. Step 6: Final answer
    x = 49,749

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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.