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Finding the Fourth Proportional to 77,289, 115,899.74 and 27,352.50

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Solution

The fourth proportional to 77,289, 115,899.74 and 27,352.50 is: 41,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,289 : 115,899.74 = 27,352.50 : x
  2. Step 2: Convert to fraction form
    77,289/115,899.74 = 27,352.50/x
  3. Step 3: Cross multiply
    77,289x = 115,899.74 × 27,352.50
  4. Step 4: Simplify right side
    77,289x = 3,170,147,638.35
  5. Step 5: Solve for x
    x = 3,170,147,638.35/77,289
  6. Step 6: Final answer
    x = 41,016.80

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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.