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Finding the Fourth Proportional to 51,302.97, 70,774.97 and 30,073.28

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Solution

The fourth proportional to 51,302.97, 70,774.97 and 30,073.28 is: 41,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.97 : 70,774.97 = 30,073.28 : x
  2. Step 2: Convert to fraction form
    51,302.97/70,774.97 = 30,073.28/x
  3. Step 3: Cross multiply
    51,302.97x = 70,774.97 × 30,073.28
  4. Step 4: Simplify right side
    51,302.97x = 2,128,434,985.56
  5. Step 5: Solve for x
    x = 2,128,434,985.56/51,302.97
  6. Step 6: Final answer
    x = 41,487.56

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Why These Related Problems?

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