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Finding the Fourth Proportional to 89,506.74, 123,509.72 and 51,773.94

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Solution

The fourth proportional to 89,506.74, 123,509.72 and 51,773.94 is: 71,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,506.74 : 123,509.72 = 51,773.94 : x
  2. Step 2: Convert to fraction form
    89,506.74/123,509.72 = 51,773.94/x
  3. Step 3: Cross multiply
    89,506.74x = 123,509.72 × 51,773.94
  4. Step 4: Simplify right side
    89,506.74x = 6,394,584,832.70
  5. Step 5: Solve for x
    x = 6,394,584,832.70/89,506.74
  6. Step 6: Final answer
    x = 71,442.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.