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Finding the Fourth Proportional to 31,859.68, 47,790.74 and 16,259.08

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Solution

The fourth proportional to 31,859.68, 47,790.74 and 16,259.08 is: 24,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.68 : 47,790.74 = 16,259.08 : x
  2. Step 2: Convert to fraction form
    31,859.68/47,790.74 = 16,259.08/x
  3. Step 3: Cross multiply
    31,859.68x = 47,790.74 × 16,259.08
  4. Step 4: Simplify right side
    31,859.68x = 777,033,464.92
  5. Step 5: Solve for x
    x = 777,033,464.92/31,859.68
  6. Step 6: Final answer
    x = 24,389.24

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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.