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Finding the Fourth Proportional to 30,270.76, 41,770.02 and 16,838.62

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Solution

The fourth proportional to 30,270.76, 41,770.02 and 16,838.62 is: 23,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.76 : 41,770.02 = 16,838.62 : x
  2. Step 2: Convert to fraction form
    30,270.76/41,770.02 = 16,838.62/x
  3. Step 3: Cross multiply
    30,270.76x = 41,770.02 × 16,838.62
  4. Step 4: Simplify right side
    30,270.76x = 703,349,494.17
  5. Step 5: Solve for x
    x = 703,349,494.17/30,270.76
  6. Step 6: Final answer
    x = 23,235.28

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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.