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Finding the Fourth Proportional to 20,100.07, 30,142 and 6,055.75

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Solution

The fourth proportional to 20,100.07, 30,142 and 6,055.75 is: 9,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100.07 : 30,142 = 6,055.75 : x
  2. Step 2: Convert to fraction form
    20,100.07/30,142 = 6,055.75/x
  3. Step 3: Cross multiply
    20,100.07x = 30,142 × 6,055.75
  4. Step 4: Simplify right side
    20,100.07x = 182,532,416.50
  5. Step 5: Solve for x
    x = 182,532,416.50/20,100.07
  6. Step 6: Final answer
    x = 9,081.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.