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Finding the Fourth Proportional to 34,200.23, 47,241.90 and 27,511.11

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Solution

The fourth proportional to 34,200.23, 47,241.90 and 27,511.11 is: 38,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200.23 : 47,241.90 = 27,511.11 : x
  2. Step 2: Convert to fraction form
    34,200.23/47,241.90 = 27,511.11/x
  3. Step 3: Cross multiply
    34,200.23x = 47,241.90 × 27,511.11
  4. Step 4: Simplify right side
    34,200.23x = 1,299,677,107.51
  5. Step 5: Solve for x
    x = 1,299,677,107.51/34,200.23
  6. Step 6: Final answer
    x = 38,002.00

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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.