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Finding the Fourth Proportional to 29,805.64, 44,708.46 and 9,029.32

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Solution

The fourth proportional to 29,805.64, 44,708.46 and 9,029.32 is: 13,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,805.64 : 44,708.46 = 9,029.32 : x
  2. Step 2: Convert to fraction form
    29,805.64/44,708.46 = 9,029.32/x
  3. Step 3: Cross multiply
    29,805.64x = 44,708.46 × 9,029.32
  4. Step 4: Simplify right side
    29,805.64x = 403,686,992.05
  5. Step 5: Solve for x
    x = 403,686,992.05/29,805.64
  6. Step 6: Final answer
    x = 13,543.98

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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.