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Finding the Fourth Proportional to 29,427.96, 44,139.54 and 9,706.20

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Solution

The fourth proportional to 29,427.96, 44,139.54 and 9,706.20 is: 14,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,427.96 : 44,139.54 = 9,706.20 : x
  2. Step 2: Convert to fraction form
    29,427.96/44,139.54 = 9,706.20/x
  3. Step 3: Cross multiply
    29,427.96x = 44,139.54 × 9,706.20
  4. Step 4: Simplify right side
    29,427.96x = 428,427,203.15
  5. Step 5: Solve for x
    x = 428,427,203.15/29,427.96
  6. Step 6: Final answer
    x = 14,558.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.