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Finding the Fourth Proportional to 101,175.30, 151,762.80 and 30,097.62

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Solution

The fourth proportional to 101,175.30, 151,762.80 and 30,097.62 is: 45,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,175.30 : 151,762.80 = 30,097.62 : x
  2. Step 2: Convert to fraction form
    101,175.30/151,762.80 = 30,097.62/x
  3. Step 3: Cross multiply
    101,175.30x = 151,762.80 × 30,097.62
  4. Step 4: Simplify right side
    101,175.30x = 4,567,699,084.54
  5. Step 5: Solve for x
    x = 4,567,699,084.54/101,175.30
  6. Step 6: Final answer
    x = 45,146.39

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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.