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Finding the Fourth Proportional to 51,196.70, 70,654.68 and 31,055.48

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Solution

The fourth proportional to 51,196.70, 70,654.68 and 31,055.48 is: 42,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,196.70 : 70,654.68 = 31,055.48 : x
  2. Step 2: Convert to fraction form
    51,196.70/70,654.68 = 31,055.48/x
  3. Step 3: Cross multiply
    51,196.70x = 70,654.68 × 31,055.48
  4. Step 4: Simplify right side
    51,196.70x = 2,194,215,001.65
  5. Step 5: Solve for x
    x = 2,194,215,001.65/51,196.70
  6. Step 6: Final answer
    x = 42,858.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.