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Finding the Fourth Proportional to 51,477.56, 77,163.47 and 29,243.46

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Solution

The fourth proportional to 51,477.56, 77,163.47 and 29,243.46 is: 43,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,477.56 : 77,163.47 = 29,243.46 : x
  2. Step 2: Convert to fraction form
    51,477.56/77,163.47 = 29,243.46/x
  3. Step 3: Cross multiply
    51,477.56x = 77,163.47 × 29,243.46
  4. Step 4: Simplify right side
    51,477.56x = 2,256,526,848.41
  5. Step 5: Solve for x
    x = 2,256,526,848.41/51,477.56
  6. Step 6: Final answer
    x = 43,835.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.