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Finding the Fourth Proportional to 71,783.50, 107,676.16 and 25,036.38

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Solution

The fourth proportional to 71,783.50, 107,676.16 and 25,036.38 is: 37,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.50 : 107,676.16 = 25,036.38 : x
  2. Step 2: Convert to fraction form
    71,783.50/107,676.16 = 25,036.38/x
  3. Step 3: Cross multiply
    71,783.50x = 107,676.16 × 25,036.38
  4. Step 4: Simplify right side
    71,783.50x = 2,695,821,258.70
  5. Step 5: Solve for x
    x = 2,695,821,258.70/71,783.50
  6. Step 6: Final answer
    x = 37,554.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.