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Finding the Fourth Proportional to 30,736, 46,124.48 and 11,280

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Solution

The fourth proportional to 30,736, 46,124.48 and 11,280 is: 16,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736 : 46,124.48 = 11,280 : x
  2. Step 2: Convert to fraction form
    30,736/46,124.48 = 11,280/x
  3. Step 3: Cross multiply
    30,736x = 46,124.48 × 11,280
  4. Step 4: Simplify right side
    30,736x = 520,284,134.40
  5. Step 5: Solve for x
    x = 520,284,134.40/30,736
  6. Step 6: Final answer
    x = 16,927.52

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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.