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Finding the Fourth Proportional to 38,648.60, 58,236.14 and 31,782.41

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Solution

The fourth proportional to 38,648.60, 58,236.14 and 31,782.41 is: 47,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648.60 : 58,236.14 = 31,782.41 : x
  2. Step 2: Convert to fraction form
    38,648.60/58,236.14 = 31,782.41/x
  3. Step 3: Cross multiply
    38,648.60x = 58,236.14 × 31,782.41
  4. Step 4: Simplify right side
    38,648.60x = 1,850,884,587.12
  5. Step 5: Solve for x
    x = 1,850,884,587.12/38,648.60
  6. Step 6: Final answer
    x = 47,890.09

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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.