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Finding the Fourth Proportional to 143,026.74, 214,550.64 and 37,845

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Solution

The fourth proportional to 143,026.74, 214,550.64 and 37,845 is: 56,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,026.74 : 214,550.64 = 37,845 : x
  2. Step 2: Convert to fraction form
    143,026.74/214,550.64 = 37,845/x
  3. Step 3: Cross multiply
    143,026.74x = 214,550.64 × 37,845
  4. Step 4: Simplify right side
    143,026.74x = 8,119,668,970.80
  5. Step 5: Solve for x
    x = 8,119,668,970.80/143,026.74
  6. Step 6: Final answer
    x = 56,770.29

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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.