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Finding the Fourth Proportional to 31,151.61, 46,754.01 and 12,444.84

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Solution

The fourth proportional to 31,151.61, 46,754.01 and 12,444.84 is: 18,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.61 : 46,754.01 = 12,444.84 : x
  2. Step 2: Convert to fraction form
    31,151.61/46,754.01 = 12,444.84/x
  3. Step 3: Cross multiply
    31,151.61x = 46,754.01 × 12,444.84
  4. Step 4: Simplify right side
    31,151.61x = 581,846,173.81
  5. Step 5: Solve for x
    x = 581,846,173.81/31,151.61
  6. Step 6: Final answer
    x = 18,677.88

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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.