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Finding the Fourth Proportional to 82,777.26, 114,232.60 and 45,051.78

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Solution

The fourth proportional to 82,777.26, 114,232.60 and 45,051.78 is: 62,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777.26 : 114,232.60 = 45,051.78 : x
  2. Step 2: Convert to fraction form
    82,777.26/114,232.60 = 45,051.78/x
  3. Step 3: Cross multiply
    82,777.26x = 114,232.60 × 45,051.78
  4. Step 4: Simplify right side
    82,777.26x = 5,146,381,964.03
  5. Step 5: Solve for x
    x = 5,146,381,964.03/82,777.26
  6. Step 6: Final answer
    x = 62,171.45

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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.