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Finding the Fourth Proportional to 29,706.60, 44,558.28 and 9,983.10

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Solution

The fourth proportional to 29,706.60, 44,558.28 and 9,983.10 is: 14,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.60 : 44,558.28 = 9,983.10 : x
  2. Step 2: Convert to fraction form
    29,706.60/44,558.28 = 9,983.10/x
  3. Step 3: Cross multiply
    29,706.60x = 44,558.28 × 9,983.10
  4. Step 4: Simplify right side
    29,706.60x = 444,829,765.07
  5. Step 5: Solve for x
    x = 444,829,765.07/29,706.60
  6. Step 6: Final answer
    x = 14,974.11

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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.