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Finding the Fourth Proportional to 77,071.72, 105,951 and 66,276.84

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Solution

The fourth proportional to 77,071.72, 105,951 and 66,276.84 is: 91,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071.72 : 105,951 = 66,276.84 : x
  2. Step 2: Convert to fraction form
    77,071.72/105,951 = 66,276.84/x
  3. Step 3: Cross multiply
    77,071.72x = 105,951 × 66,276.84
  4. Step 4: Simplify right side
    77,071.72x = 7,022,097,474.84
  5. Step 5: Solve for x
    x = 7,022,097,474.84/77,071.72
  6. Step 6: Final answer
    x = 91,111.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.