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Finding the Fourth Proportional to 30,745.50, 46,118.28 and 9,969

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Solution

The fourth proportional to 30,745.50, 46,118.28 and 9,969 is: 14,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.50 : 46,118.28 = 9,969 : x
  2. Step 2: Convert to fraction form
    30,745.50/46,118.28 = 9,969/x
  3. Step 3: Cross multiply
    30,745.50x = 46,118.28 × 9,969
  4. Step 4: Simplify right side
    30,745.50x = 459,753,133.32
  5. Step 5: Solve for x
    x = 459,753,133.32/30,745.50
  6. Step 6: Final answer
    x = 14,953.51

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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.