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Finding the Fourth Proportional to 53,709.44, 74,115.32 and 32,500.40

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Solution

The fourth proportional to 53,709.44, 74,115.32 and 32,500.40 is: 44,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.44 : 74,115.32 = 32,500.40 : x
  2. Step 2: Convert to fraction form
    53,709.44/74,115.32 = 32,500.40/x
  3. Step 3: Cross multiply
    53,709.44x = 74,115.32 × 32,500.40
  4. Step 4: Simplify right side
    53,709.44x = 2,408,777,546.13
  5. Step 5: Solve for x
    x = 2,408,777,546.13/53,709.44
  6. Step 6: Final answer
    x = 44,848.31

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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.