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Finding the Fourth Proportional to 34,282.58, 47,307.02 and 19,942.70

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Solution

The fourth proportional to 34,282.58, 47,307.02 and 19,942.70 is: 27,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282.58 : 47,307.02 = 19,942.70 : x
  2. Step 2: Convert to fraction form
    34,282.58/47,307.02 = 19,942.70/x
  3. Step 3: Cross multiply
    34,282.58x = 47,307.02 × 19,942.70
  4. Step 4: Simplify right side
    34,282.58x = 943,429,371.51
  5. Step 5: Solve for x
    x = 943,429,371.51/34,282.58
  6. Step 6: Final answer
    x = 27,519.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.