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Finding the Fourth Proportional to 30,348.25, 45,522.79 and 11,629.24

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Solution

The fourth proportional to 30,348.25, 45,522.79 and 11,629.24 is: 17,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348.25 : 45,522.79 = 11,629.24 : x
  2. Step 2: Convert to fraction form
    30,348.25/45,522.79 = 11,629.24/x
  3. Step 3: Cross multiply
    30,348.25x = 45,522.79 × 11,629.24
  4. Step 4: Simplify right side
    30,348.25x = 529,395,307.50
  5. Step 5: Solve for x
    x = 529,395,307.50/30,348.25
  6. Step 6: Final answer
    x = 17,444.02

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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.