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Finding the Fourth Proportional to 31,900.84, 47,851.27 and 14,350.16

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Solution

The fourth proportional to 31,900.84, 47,851.27 and 14,350.16 is: 21,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.84 : 47,851.27 = 14,350.16 : x
  2. Step 2: Convert to fraction form
    31,900.84/47,851.27 = 14,350.16/x
  3. Step 3: Cross multiply
    31,900.84x = 47,851.27 × 14,350.16
  4. Step 4: Simplify right side
    31,900.84x = 686,673,380.70
  5. Step 5: Solve for x
    x = 686,673,380.70/31,900.84
  6. Step 6: Final answer
    x = 21,525.25

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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.