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Finding the Fourth Proportional to 30,590.69, 45,847.35 and 17,450.46

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Solution

The fourth proportional to 30,590.69, 45,847.35 and 17,450.46 is: 26,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.69 : 45,847.35 = 17,450.46 : x
  2. Step 2: Convert to fraction form
    30,590.69/45,847.35 = 17,450.46/x
  3. Step 3: Cross multiply
    30,590.69x = 45,847.35 × 17,450.46
  4. Step 4: Simplify right side
    30,590.69x = 800,057,347.28
  5. Step 5: Solve for x
    x = 800,057,347.28/30,590.69
  6. Step 6: Final answer
    x = 26,153.63

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