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Finding the Fourth Proportional to 65,116.90, 89,879.04 and 38,268.06

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Solution

The fourth proportional to 65,116.90, 89,879.04 and 38,268.06 is: 52,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.90 : 89,879.04 = 38,268.06 : x
  2. Step 2: Convert to fraction form
    65,116.90/89,879.04 = 38,268.06/x
  3. Step 3: Cross multiply
    65,116.90x = 89,879.04 × 38,268.06
  4. Step 4: Simplify right side
    65,116.90x = 3,439,496,150.27
  5. Step 5: Solve for x
    x = 3,439,496,150.27/65,116.90
  6. Step 6: Final answer
    x = 52,820.33

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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.