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Finding the Fourth Proportional to 34,817, 48,047.52 and 19,913

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Solution

The fourth proportional to 34,817, 48,047.52 and 19,913 is: 27,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,817 : 48,047.52 = 19,913 : x
  2. Step 2: Convert to fraction form
    34,817/48,047.52 = 19,913/x
  3. Step 3: Cross multiply
    34,817x = 48,047.52 × 19,913
  4. Step 4: Simplify right side
    34,817x = 956,770,265.76
  5. Step 5: Solve for x
    x = 956,770,265.76/34,817
  6. Step 6: Final answer
    x = 27,479.97

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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.