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Finding the Fourth Proportional to 44,293, 66,439.74 and 11,461

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Solution

The fourth proportional to 44,293, 66,439.74 and 11,461 is: 17,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,293 : 66,439.74 = 11,461 : x
  2. Step 2: Convert to fraction form
    44,293/66,439.74 = 11,461/x
  3. Step 3: Cross multiply
    44,293x = 66,439.74 × 11,461
  4. Step 4: Simplify right side
    44,293x = 761,465,860.14
  5. Step 5: Solve for x
    x = 761,465,860.14/44,293
  6. Step 6: Final answer
    x = 17,191.56

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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.