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Finding the Fourth Proportional to 30,852.38, 42,560.60 and 18,097.22

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Solution

The fourth proportional to 30,852.38, 42,560.60 and 18,097.22 is: 24,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.38 : 42,560.60 = 18,097.22 : x
  2. Step 2: Convert to fraction form
    30,852.38/42,560.60 = 18,097.22/x
  3. Step 3: Cross multiply
    30,852.38x = 42,560.60 × 18,097.22
  4. Step 4: Simplify right side
    30,852.38x = 770,228,541.53
  5. Step 5: Solve for x
    x = 770,228,541.53/30,852.38
  6. Step 6: Final answer
    x = 24,964.96

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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.