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Finding the Fourth Proportional to 45,982.75, 69,000.74 and 19,326.64

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Solution

The fourth proportional to 45,982.75, 69,000.74 and 19,326.64 is: 29,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982.75 : 69,000.74 = 19,326.64 : x
  2. Step 2: Convert to fraction form
    45,982.75/69,000.74 = 19,326.64/x
  3. Step 3: Cross multiply
    45,982.75x = 69,000.74 × 19,326.64
  4. Step 4: Simplify right side
    45,982.75x = 1,333,552,020.08
  5. Step 5: Solve for x
    x = 1,333,552,020.08/45,982.75
  6. Step 6: Final answer
    x = 29,001.14

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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.