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Finding the Fourth Proportional to 97,794, 146,667.96 and 26,699.72

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Solution

The fourth proportional to 97,794, 146,667.96 and 26,699.72 is: 40,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794 : 146,667.96 = 26,699.72 : x
  2. Step 2: Convert to fraction form
    97,794/146,667.96 = 26,699.72/x
  3. Step 3: Cross multiply
    97,794x = 146,667.96 × 26,699.72
  4. Step 4: Simplify right side
    97,794x = 3,915,992,731.63
  5. Step 5: Solve for x
    x = 3,915,992,731.63/97,794
  6. Step 6: Final answer
    x = 40,043.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.