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Finding the Fourth Proportional to 30,643.40, 45,965.10 and 27,727.40

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Solution

The fourth proportional to 30,643.40, 45,965.10 and 27,727.40 is: 41,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.40 : 45,965.10 = 27,727.40 : x
  2. Step 2: Convert to fraction form
    30,643.40/45,965.10 = 27,727.40/x
  3. Step 3: Cross multiply
    30,643.40x = 45,965.10 × 27,727.40
  4. Step 4: Simplify right side
    30,643.40x = 1,274,492,713.74
  5. Step 5: Solve for x
    x = 1,274,492,713.74/30,643.40
  6. Step 6: Final answer
    x = 41,591.10

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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.