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Finding the Fourth Proportional to 65,194.60, 89,970.68 and 36,899.68

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Solution

The fourth proportional to 65,194.60, 89,970.68 and 36,899.68 is: 50,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.60 : 89,970.68 = 36,899.68 : x
  2. Step 2: Convert to fraction form
    65,194.60/89,970.68 = 36,899.68/x
  3. Step 3: Cross multiply
    65,194.60x = 89,970.68 × 36,899.68
  4. Step 4: Simplify right side
    65,194.60x = 3,319,889,301.38
  5. Step 5: Solve for x
    x = 3,319,889,301.38/65,194.60
  6. Step 6: Final answer
    x = 50,922.77

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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.