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Finding the Fourth Proportional to 65,194.30, 89,967.63 and 36,899.02

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Solution

The fourth proportional to 65,194.30, 89,967.63 and 36,899.02 is: 50,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.30 : 89,967.63 = 36,899.02 : x
  2. Step 2: Convert to fraction form
    65,194.30/89,967.63 = 36,899.02/x
  3. Step 3: Cross multiply
    65,194.30x = 89,967.63 × 36,899.02
  4. Step 4: Simplify right side
    65,194.30x = 3,319,717,378.72
  5. Step 5: Solve for x
    x = 3,319,717,378.72/65,194.30
  6. Step 6: Final answer
    x = 50,920.36

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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.