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Finding the Fourth Proportional to 30,873.15, 46,309.59 and 7,499.66

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Solution

The fourth proportional to 30,873.15, 46,309.59 and 7,499.66 is: 11,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.15 : 46,309.59 = 7,499.66 : x
  2. Step 2: Convert to fraction form
    30,873.15/46,309.59 = 7,499.66/x
  3. Step 3: Cross multiply
    30,873.15x = 46,309.59 × 7,499.66
  4. Step 4: Simplify right side
    30,873.15x = 347,305,948.19
  5. Step 5: Solve for x
    x = 347,305,948.19/30,873.15
  6. Step 6: Final answer
    x = 11,249.45

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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.