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Finding the Fourth Proportional to 34,672.50, 47,854.53 and 19,768.50

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Solution

The fourth proportional to 34,672.50, 47,854.53 and 19,768.50 is: 27,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,672.50 : 47,854.53 = 19,768.50 : x
  2. Step 2: Convert to fraction form
    34,672.50/47,854.53 = 19,768.50/x
  3. Step 3: Cross multiply
    34,672.50x = 47,854.53 × 19,768.50
  4. Step 4: Simplify right side
    34,672.50x = 946,012,276.31
  5. Step 5: Solve for x
    x = 946,012,276.31/34,672.50
  6. Step 6: Final answer
    x = 27,284.22

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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.