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Finding the Fourth Proportional to 65,854.98, 90,879.18 and 35,639.64

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Solution

The fourth proportional to 65,854.98, 90,879.18 and 35,639.64 is: 49,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,854.98 : 90,879.18 = 35,639.64 : x
  2. Step 2: Convert to fraction form
    65,854.98/90,879.18 = 35,639.64/x
  3. Step 3: Cross multiply
    65,854.98x = 90,879.18 × 35,639.64
  4. Step 4: Simplify right side
    65,854.98x = 3,238,901,258.70
  5. Step 5: Solve for x
    x = 3,238,901,258.70/65,854.98
  6. Step 6: Final answer
    x = 49,182.33

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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.