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Finding the Fourth Proportional to 31,510.45, 47,274.45 and 13,742.66

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Solution

The fourth proportional to 31,510.45, 47,274.45 and 13,742.66 is: 20,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.45 : 47,274.45 = 13,742.66 : x
  2. Step 2: Convert to fraction form
    31,510.45/47,274.45 = 13,742.66/x
  3. Step 3: Cross multiply
    31,510.45x = 47,274.45 × 13,742.66
  4. Step 4: Simplify right side
    31,510.45x = 649,676,836.99
  5. Step 5: Solve for x
    x = 649,676,836.99/31,510.45
  6. Step 6: Final answer
    x = 20,617.82

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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.