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Finding the Fourth Proportional to 47,782.34, 65,873.64 and 38,124.58

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Solution

The fourth proportional to 47,782.34, 65,873.64 and 38,124.58 is: 52,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.34 : 65,873.64 = 38,124.58 : x
  2. Step 2: Convert to fraction form
    47,782.34/65,873.64 = 38,124.58/x
  3. Step 3: Cross multiply
    47,782.34x = 65,873.64 × 38,124.58
  4. Step 4: Simplify right side
    47,782.34x = 2,511,404,858.07
  5. Step 5: Solve for x
    x = 2,511,404,858.07/47,782.34
  6. Step 6: Final answer
    x = 52,559.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.