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Finding the Fourth Proportional to 20,111.70, 30,167.40 and 6,071.70

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Solution

The fourth proportional to 20,111.70, 30,167.40 and 6,071.70 is: 9,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.70 : 30,167.40 = 6,071.70 : x
  2. Step 2: Convert to fraction form
    20,111.70/30,167.40 = 6,071.70/x
  3. Step 3: Cross multiply
    20,111.70x = 30,167.40 × 6,071.70
  4. Step 4: Simplify right side
    20,111.70x = 183,167,402.58
  5. Step 5: Solve for x
    x = 183,167,402.58/20,111.70
  6. Step 6: Final answer
    x = 9,107.50

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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.