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Finding the Fourth Proportional to 29,985, 44,979.66 and 11,517

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Solution

The fourth proportional to 29,985, 44,979.66 and 11,517 is: 17,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985 : 44,979.66 = 11,517 : x
  2. Step 2: Convert to fraction form
    29,985/44,979.66 = 11,517/x
  3. Step 3: Cross multiply
    29,985x = 44,979.66 × 11,517
  4. Step 4: Simplify right side
    29,985x = 518,030,744.22
  5. Step 5: Solve for x
    x = 518,030,744.22/29,985
  6. Step 6: Final answer
    x = 17,276.33

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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.