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Finding the Fourth Proportional to 53,676.30, 74,071.86 and 32,178.18

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Solution

The fourth proportional to 53,676.30, 74,071.86 and 32,178.18 is: 44,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,676.30 : 74,071.86 = 32,178.18 : x
  2. Step 2: Convert to fraction form
    53,676.30/74,071.86 = 32,178.18/x
  3. Step 3: Cross multiply
    53,676.30x = 74,071.86 × 32,178.18
  4. Step 4: Simplify right side
    53,676.30x = 2,383,497,644.01
  5. Step 5: Solve for x
    x = 2,383,497,644.01/53,676.30
  6. Step 6: Final answer
    x = 44,405.03

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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.