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Finding the Fourth Proportional to 34,206.84, 47,200.72 and 19,097.73

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Solution

The fourth proportional to 34,206.84, 47,200.72 and 19,097.73 is: 26,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.84 : 47,200.72 = 19,097.73 : x
  2. Step 2: Convert to fraction form
    34,206.84/47,200.72 = 19,097.73/x
  3. Step 3: Cross multiply
    34,206.84x = 47,200.72 × 19,097.73
  4. Step 4: Simplify right side
    34,206.84x = 901,426,606.37
  5. Step 5: Solve for x
    x = 901,426,606.37/34,206.84
  6. Step 6: Final answer
    x = 26,352.23

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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.