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Finding the Fourth Proportional to 30,872.75, 46,309.10 and 7,499.16

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Solution

The fourth proportional to 30,872.75, 46,309.10 and 7,499.16 is: 11,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.75 : 46,309.10 = 7,499.16 : x
  2. Step 2: Convert to fraction form
    30,872.75/46,309.10 = 7,499.16/x
  3. Step 3: Cross multiply
    30,872.75x = 46,309.10 × 7,499.16
  4. Step 4: Simplify right side
    30,872.75x = 347,279,312.86
  5. Step 5: Solve for x
    x = 347,279,312.86/30,872.75
  6. Step 6: Final answer
    x = 11,248.73

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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.