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Finding the Fourth Proportional to 51,583.82, 77,360.31 and 15,558.77

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Solution

The fourth proportional to 51,583.82, 77,360.31 and 15,558.77 is: 23,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583.82 : 77,360.31 = 15,558.77 : x
  2. Step 2: Convert to fraction form
    51,583.82/77,360.31 = 15,558.77/x
  3. Step 3: Cross multiply
    51,583.82x = 77,360.31 × 15,558.77
  4. Step 4: Simplify right side
    51,583.82x = 1,203,631,232.06
  5. Step 5: Solve for x
    x = 1,203,631,232.06/51,583.82
  6. Step 6: Final answer
    x = 23,333.50

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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.