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Finding the Fourth Proportional to 65,197.94, 89,973.44 and 36,909.08

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Solution

The fourth proportional to 65,197.94, 89,973.44 and 36,909.08 is: 50,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.94 : 89,973.44 = 36,909.08 : x
  2. Step 2: Convert to fraction form
    65,197.94/89,973.44 = 36,909.08/x
  3. Step 3: Cross multiply
    65,197.94x = 89,973.44 × 36,909.08
  4. Step 4: Simplify right side
    65,197.94x = 3,320,836,894.84
  5. Step 5: Solve for x
    x = 3,320,836,894.84/65,197.94
  6. Step 6: Final answer
    x = 50,934.69

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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.