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Finding the Fourth Proportional to 51,137.50, 76,702.87 and 24,502.54

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Solution

The fourth proportional to 51,137.50, 76,702.87 and 24,502.54 is: 36,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,137.50 : 76,702.87 = 24,502.54 : x
  2. Step 2: Convert to fraction form
    51,137.50/76,702.87 = 24,502.54/x
  3. Step 3: Cross multiply
    51,137.50x = 76,702.87 × 24,502.54
  4. Step 4: Simplify right side
    51,137.50x = 1,879,415,140.29
  5. Step 5: Solve for x
    x = 1,879,415,140.29/51,137.50
  6. Step 6: Final answer
    x = 36,752.19

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