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Finding the Fourth Proportional to 65,584.86, 90,515.39 and 37,285.08

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Solution

The fourth proportional to 65,584.86, 90,515.39 and 37,285.08 is: 51,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,584.86 : 90,515.39 = 37,285.08 : x
  2. Step 2: Convert to fraction form
    65,584.86/90,515.39 = 37,285.08/x
  3. Step 3: Cross multiply
    65,584.86x = 90,515.39 × 37,285.08
  4. Step 4: Simplify right side
    65,584.86x = 3,374,873,370.96
  5. Step 5: Solve for x
    x = 3,374,873,370.96/65,584.86
  6. Step 6: Final answer
    x = 51,458.12

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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.