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Finding the Fourth Proportional to 31,419.84, 47,136.71 and 10,366.39

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Solution

The fourth proportional to 31,419.84, 47,136.71 and 10,366.39 is: 15,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.84 : 47,136.71 = 10,366.39 : x
  2. Step 2: Convert to fraction form
    31,419.84/47,136.71 = 10,366.39/x
  3. Step 3: Cross multiply
    31,419.84x = 47,136.71 × 10,366.39
  4. Step 4: Simplify right side
    31,419.84x = 488,637,519.18
  5. Step 5: Solve for x
    x = 488,637,519.18/31,419.84
  6. Step 6: Final answer
    x = 15,551.88

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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.