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Finding the Fourth Proportional to 34,699.50, 47,885.31 and 19,795.50

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Solution

The fourth proportional to 34,699.50, 47,885.31 and 19,795.50 is: 27,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,699.50 : 47,885.31 = 19,795.50 : x
  2. Step 2: Convert to fraction form
    34,699.50/47,885.31 = 19,795.50/x
  3. Step 3: Cross multiply
    34,699.50x = 47,885.31 × 19,795.50
  4. Step 4: Simplify right side
    34,699.50x = 947,913,654.11
  5. Step 5: Solve for x
    x = 947,913,654.11/34,699.50
  6. Step 6: Final answer
    x = 27,317.79

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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.