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Finding the Fourth Proportional to 34,734.12, 47,933.02 and 18,819

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Solution

The fourth proportional to 34,734.12, 47,933.02 and 18,819 is: 25,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,734.12 : 47,933.02 = 18,819 : x
  2. Step 2: Convert to fraction form
    34,734.12/47,933.02 = 18,819/x
  3. Step 3: Cross multiply
    34,734.12x = 47,933.02 × 18,819
  4. Step 4: Simplify right side
    34,734.12x = 902,051,503.38
  5. Step 5: Solve for x
    x = 902,051,503.38/34,734.12
  6. Step 6: Final answer
    x = 25,970.18

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Why These Related Problems?

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