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Finding the Fourth Proportional to 34,507.67, 47,620.30 and 19,400.40

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Solution

The fourth proportional to 34,507.67, 47,620.30 and 19,400.40 is: 26,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507.67 : 47,620.30 = 19,400.40 : x
  2. Step 2: Convert to fraction form
    34,507.67/47,620.30 = 19,400.40/x
  3. Step 3: Cross multiply
    34,507.67x = 47,620.30 × 19,400.40
  4. Step 4: Simplify right side
    34,507.67x = 923,852,868.12
  5. Step 5: Solve for x
    x = 923,852,868.12/34,507.67
  6. Step 6: Final answer
    x = 26,772.39

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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.