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Finding the Fourth Proportional to 24,453, 36,679.50 and 5,985

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Solution

The fourth proportional to 24,453, 36,679.50 and 5,985 is: 8,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453 : 36,679.50 = 5,985 : x
  2. Step 2: Convert to fraction form
    24,453/36,679.50 = 5,985/x
  3. Step 3: Cross multiply
    24,453x = 36,679.50 × 5,985
  4. Step 4: Simplify right side
    24,453x = 219,526,807.50
  5. Step 5: Solve for x
    x = 219,526,807.50/24,453
  6. Step 6: Final answer
    x = 8,977.50

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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.