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Finding the Fourth Proportional to 102,059.93, 153,072.62 and 30,965.42

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Solution

The fourth proportional to 102,059.93, 153,072.62 and 30,965.42 is: 46,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.93 : 153,072.62 = 30,965.42 : x
  2. Step 2: Convert to fraction form
    102,059.93/153,072.62 = 30,965.42/x
  3. Step 3: Cross multiply
    102,059.93x = 153,072.62 × 30,965.42
  4. Step 4: Simplify right side
    102,059.93x = 4,739,958,489.16
  5. Step 5: Solve for x
    x = 4,739,958,489.16/102,059.93
  6. Step 6: Final answer
    x = 46,442.89

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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.