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Finding the Fourth Proportional to 29,232.55, 43,853.40 and 9,506.49

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Solution

The fourth proportional to 29,232.55, 43,853.40 and 9,506.49 is: 14,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232.55 : 43,853.40 = 9,506.49 : x
  2. Step 2: Convert to fraction form
    29,232.55/43,853.40 = 9,506.49/x
  3. Step 3: Cross multiply
    29,232.55x = 43,853.40 × 9,506.49
  4. Step 4: Simplify right side
    29,232.55x = 416,891,908.57
  5. Step 5: Solve for x
    x = 416,891,908.57/29,232.55
  6. Step 6: Final answer
    x = 14,261.22

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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.