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Finding the Fourth Proportional to 35,474.88, 53,215.52 and 9,179.52

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Solution

The fourth proportional to 35,474.88, 53,215.52 and 9,179.52 is: 13,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,474.88 : 53,215.52 = 9,179.52 : x
  2. Step 2: Convert to fraction form
    35,474.88/53,215.52 = 9,179.52/x
  3. Step 3: Cross multiply
    35,474.88x = 53,215.52 × 9,179.52
  4. Step 4: Simplify right side
    35,474.88x = 488,492,930.15
  5. Step 5: Solve for x
    x = 488,492,930.15/35,474.88
  6. Step 6: Final answer
    x = 13,770.11

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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.