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Finding the Fourth Proportional to 82,777.24, 114,233.16 and 45,051.76

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Solution

The fourth proportional to 82,777.24, 114,233.16 and 45,051.76 is: 62,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777.24 : 114,233.16 = 45,051.76 : x
  2. Step 2: Convert to fraction form
    82,777.24/114,233.16 = 45,051.76/x
  3. Step 3: Cross multiply
    82,777.24x = 114,233.16 × 45,051.76
  4. Step 4: Simplify right side
    82,777.24x = 5,146,404,908.36
  5. Step 5: Solve for x
    x = 5,146,404,908.36/82,777.24
  6. Step 6: Final answer
    x = 62,171.74

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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.