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Finding the Fourth Proportional to 36,003.58, 49,680 and 20,084.95

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Solution

The fourth proportional to 36,003.58, 49,680 and 20,084.95 is: 27,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,003.58 : 49,680 = 20,084.95 : x
  2. Step 2: Convert to fraction form
    36,003.58/49,680 = 20,084.95/x
  3. Step 3: Cross multiply
    36,003.58x = 49,680 × 20,084.95
  4. Step 4: Simplify right side
    36,003.58x = 997,820,316
  5. Step 5: Solve for x
    x = 997,820,316/36,003.58
  6. Step 6: Final answer
    x = 27,714.47

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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.