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Finding the Fourth Proportional to 48,758.50, 73,137.76 and 11,822.50

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Solution

The fourth proportional to 48,758.50, 73,137.76 and 11,822.50 is: 17,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,758.50 : 73,137.76 = 11,822.50 : x
  2. Step 2: Convert to fraction form
    48,758.50/73,137.76 = 11,822.50/x
  3. Step 3: Cross multiply
    48,758.50x = 73,137.76 × 11,822.50
  4. Step 4: Simplify right side
    48,758.50x = 864,671,167.60
  5. Step 5: Solve for x
    x = 864,671,167.60/48,758.50
  6. Step 6: Final answer
    x = 17,733.75

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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.