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Finding the Fourth Proportional to 30,849.15, 46,273.59 and 7,475.79

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Solution

The fourth proportional to 30,849.15, 46,273.59 and 7,475.79 is: 11,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.15 : 46,273.59 = 7,475.79 : x
  2. Step 2: Convert to fraction form
    30,849.15/46,273.59 = 7,475.79/x
  3. Step 3: Cross multiply
    30,849.15x = 46,273.59 × 7,475.79
  4. Step 4: Simplify right side
    30,849.15x = 345,931,641.39
  5. Step 5: Solve for x
    x = 345,931,641.39/30,849.15
  6. Step 6: Final answer
    x = 11,213.65

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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.