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Finding the Fourth Proportional to 29,232.80, 43,853.81 and 9,506.77

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Solution

The fourth proportional to 29,232.80, 43,853.81 and 9,506.77 is: 14,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232.80 : 43,853.81 = 9,506.77 : x
  2. Step 2: Convert to fraction form
    29,232.80/43,853.81 = 9,506.77/x
  3. Step 3: Cross multiply
    29,232.80x = 43,853.81 × 9,506.77
  4. Step 4: Simplify right side
    29,232.80x = 416,907,928.13
  5. Step 5: Solve for x
    x = 416,907,928.13/29,232.80
  6. Step 6: Final answer
    x = 14,261.65

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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.