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Finding the Fourth Proportional to 77,376.98, 116,047 and 39,917.78

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Solution

The fourth proportional to 77,376.98, 116,047 and 39,917.78 is: 59,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,376.98 : 116,047 = 39,917.78 : x
  2. Step 2: Convert to fraction form
    77,376.98/116,047 = 39,917.78/x
  3. Step 3: Cross multiply
    77,376.98x = 116,047 × 39,917.78
  4. Step 4: Simplify right side
    77,376.98x = 4,632,338,615.66
  5. Step 5: Solve for x
    x = 4,632,338,615.66/77,376.98
  6. Step 6: Final answer
    x = 59,867.14

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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.