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Finding the Fourth Proportional to 30,924.72, 46,411.68 and 11,208.90

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Solution

The fourth proportional to 30,924.72, 46,411.68 and 11,208.90 is: 16,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.72 : 46,411.68 = 11,208.90 : x
  2. Step 2: Convert to fraction form
    30,924.72/46,411.68 = 11,208.90/x
  3. Step 3: Cross multiply
    30,924.72x = 46,411.68 × 11,208.90
  4. Step 4: Simplify right side
    30,924.72x = 520,223,879.95
  5. Step 5: Solve for x
    x = 520,223,879.95/30,924.72
  6. Step 6: Final answer
    x = 16,822.27

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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.