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Finding the Fourth Proportional to 29,382.40, 44,064.60 and 9,656.40

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Solution

The fourth proportional to 29,382.40, 44,064.60 and 9,656.40 is: 14,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.40 : 44,064.60 = 9,656.40 : x
  2. Step 2: Convert to fraction form
    29,382.40/44,064.60 = 9,656.40/x
  3. Step 3: Cross multiply
    29,382.40x = 44,064.60 × 9,656.40
  4. Step 4: Simplify right side
    29,382.40x = 425,505,403.44
  5. Step 5: Solve for x
    x = 425,505,403.44/29,382.40
  6. Step 6: Final answer
    x = 14,481.64

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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.