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Finding the Fourth Proportional to 29,703, 40,990.14 and 17,766.84

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Solution

The fourth proportional to 29,703, 40,990.14 and 17,766.84 is: 24,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703 : 40,990.14 = 17,766.84 : x
  2. Step 2: Convert to fraction form
    29,703/40,990.14 = 17,766.84/x
  3. Step 3: Cross multiply
    29,703x = 40,990.14 × 17,766.84
  4. Step 4: Simplify right side
    29,703x = 728,265,258.96
  5. Step 5: Solve for x
    x = 728,265,258.96/29,703
  6. Step 6: Final answer
    x = 24,518.24

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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.