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Finding the Fourth Proportional to 30,101.90, 41,535.74 and 18,007.38

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Solution

The fourth proportional to 30,101.90, 41,535.74 and 18,007.38 is: 24,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.90 : 41,535.74 = 18,007.38 : x
  2. Step 2: Convert to fraction form
    30,101.90/41,535.74 = 18,007.38/x
  3. Step 3: Cross multiply
    30,101.90x = 41,535.74 × 18,007.38
  4. Step 4: Simplify right side
    30,101.90x = 747,949,853.76
  5. Step 5: Solve for x
    x = 747,949,853.76/30,101.90
  6. Step 6: Final answer
    x = 24,847.26

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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.