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Finding the Fourth Proportional to 38,649.60, 58,237.65 and 31,783.41

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Solution

The fourth proportional to 38,649.60, 58,237.65 and 31,783.41 is: 47,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.60 : 58,237.65 = 31,783.41 : x
  2. Step 2: Convert to fraction form
    38,649.60/58,237.65 = 31,783.41/x
  3. Step 3: Cross multiply
    38,649.60x = 58,237.65 × 31,783.41
  4. Step 4: Simplify right side
    38,649.60x = 1,850,991,107.39
  5. Step 5: Solve for x
    x = 1,850,991,107.39/38,649.60
  6. Step 6: Final answer
    x = 47,891.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.