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Finding the Fourth Proportional to 30,992.75, 46,657.76 and 28,237.13

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Solution

The fourth proportional to 30,992.75, 46,657.76 and 28,237.13 is: 42,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.75 : 46,657.76 = 28,237.13 : x
  2. Step 2: Convert to fraction form
    30,992.75/46,657.76 = 28,237.13/x
  3. Step 3: Cross multiply
    30,992.75x = 46,657.76 × 28,237.13
  4. Step 4: Simplify right side
    30,992.75x = 1,317,481,234.63
  5. Step 5: Solve for x
    x = 1,317,481,234.63/30,992.75
  6. Step 6: Final answer
    x = 42,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.