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Finding the Fourth Proportional to 65,539, 98,308.86 and 16,291

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Solution

The fourth proportional to 65,539, 98,308.86 and 16,291 is: 24,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,539 : 98,308.86 = 16,291 : x
  2. Step 2: Convert to fraction form
    65,539/98,308.86 = 16,291/x
  3. Step 3: Cross multiply
    65,539x = 98,308.86 × 16,291
  4. Step 4: Simplify right side
    65,539x = 1,601,549,638.26
  5. Step 5: Solve for x
    x = 1,601,549,638.26/65,539
  6. Step 6: Final answer
    x = 24,436.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.