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Finding the Fourth Proportional to 20,125.70, 30,188.40 and 6,085.70

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Solution

The fourth proportional to 20,125.70, 30,188.40 and 6,085.70 is: 9,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.70 : 30,188.40 = 6,085.70 : x
  2. Step 2: Convert to fraction form
    20,125.70/30,188.40 = 6,085.70/x
  3. Step 3: Cross multiply
    20,125.70x = 30,188.40 × 6,085.70
  4. Step 4: Simplify right side
    20,125.70x = 183,717,545.88
  5. Step 5: Solve for x
    x = 183,717,545.88/20,125.70
  6. Step 6: Final answer
    x = 9,128.50

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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.