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Finding the Fourth Proportional to 31,152.68, 46,726.75 and 12,173.74

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Solution

The fourth proportional to 31,152.68, 46,726.75 and 12,173.74 is: 18,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.68 : 46,726.75 = 12,173.74 : x
  2. Step 2: Convert to fraction form
    31,152.68/46,726.75 = 12,173.74/x
  3. Step 3: Cross multiply
    31,152.68x = 46,726.75 × 12,173.74
  4. Step 4: Simplify right side
    31,152.68x = 568,839,305.55
  5. Step 5: Solve for x
    x = 568,839,305.55/31,152.68
  6. Step 6: Final answer
    x = 18,259.72

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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.