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Finding the Fourth Proportional to 47,596, 71,394.50 and 19,508.84

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Solution

The fourth proportional to 47,596, 71,394.50 and 19,508.84 is: 29,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,596 : 71,394.50 = 19,508.84 : x
  2. Step 2: Convert to fraction form
    47,596/71,394.50 = 19,508.84/x
  3. Step 3: Cross multiply
    47,596x = 71,394.50 × 19,508.84
  4. Step 4: Simplify right side
    47,596x = 1,392,823,877.38
  5. Step 5: Solve for x
    x = 1,392,823,877.38/47,596
  6. Step 6: Final answer
    x = 29,263.46

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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.