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Finding the Fourth Proportional to 20,309.16, 30,379.50 and 19,065

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Solution

The fourth proportional to 20,309.16, 30,379.50 and 19,065 is: 28,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.16 : 30,379.50 = 19,065 : x
  2. Step 2: Convert to fraction form
    20,309.16/30,379.50 = 19,065/x
  3. Step 3: Cross multiply
    20,309.16x = 30,379.50 × 19,065
  4. Step 4: Simplify right side
    20,309.16x = 579,185,167.50
  5. Step 5: Solve for x
    x = 579,185,167.50/20,309.16
  6. Step 6: Final answer
    x = 28,518.42

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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.