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Finding the Fourth Proportional to 61,097.70, 91,657.44 and 31,507.56

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Solution

The fourth proportional to 61,097.70, 91,657.44 and 31,507.56 is: 47,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,097.70 : 91,657.44 = 31,507.56 : x
  2. Step 2: Convert to fraction form
    61,097.70/91,657.44 = 31,507.56/x
  3. Step 3: Cross multiply
    61,097.70x = 91,657.44 × 31,507.56
  4. Step 4: Simplify right side
    61,097.70x = 2,887,902,290.25
  5. Step 5: Solve for x
    x = 2,887,902,290.25/61,097.70
  6. Step 6: Final answer
    x = 47,266.96

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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.