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Finding the Fourth Proportional to 29,706.75, 41,017.19 and 20,258.91

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Solution

The fourth proportional to 29,706.75, 41,017.19 and 20,258.91 is: 27,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 41,017.19 = 20,258.91 : x
  2. Step 2: Convert to fraction form
    29,706.75/41,017.19 = 20,258.91/x
  3. Step 3: Cross multiply
    29,706.75x = 41,017.19 × 20,258.91
  4. Step 4: Simplify right side
    29,706.75x = 830,963,459.37
  5. Step 5: Solve for x
    x = 830,963,459.37/29,706.75
  6. Step 6: Final answer
    x = 27,972.21

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