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Finding the Fourth Proportional to 30,294.49, 41,805.96 and 16,865.74

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Solution

The fourth proportional to 30,294.49, 41,805.96 and 16,865.74 is: 23,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.49 : 41,805.96 = 16,865.74 : x
  2. Step 2: Convert to fraction form
    30,294.49/41,805.96 = 16,865.74/x
  3. Step 3: Cross multiply
    30,294.49x = 41,805.96 × 16,865.74
  4. Step 4: Simplify right side
    30,294.49x = 705,088,451.81
  5. Step 5: Solve for x
    x = 705,088,451.81/30,294.49
  6. Step 6: Final answer
    x = 23,274.48

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1.5x scale

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.