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Finding the Fourth Proportional to 30,924.42, 46,390.04 and 9,859.56

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Solution

The fourth proportional to 30,924.42, 46,390.04 and 9,859.56 is: 14,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.42 : 46,390.04 = 9,859.56 : x
  2. Step 2: Convert to fraction form
    30,924.42/46,390.04 = 9,859.56/x
  3. Step 3: Cross multiply
    30,924.42x = 46,390.04 × 9,859.56
  4. Step 4: Simplify right side
    30,924.42x = 457,385,382.78
  5. Step 5: Solve for x
    x = 457,385,382.78/30,924.42
  6. Step 6: Final answer
    x = 14,790.43

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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.