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Finding the Fourth Proportional to 29,810.64, 44,716.08 and 9,034.32

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Solution

The fourth proportional to 29,810.64, 44,716.08 and 9,034.32 is: 13,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.64 : 44,716.08 = 9,034.32 : x
  2. Step 2: Convert to fraction form
    29,810.64/44,716.08 = 9,034.32/x
  3. Step 3: Cross multiply
    29,810.64x = 44,716.08 × 9,034.32
  4. Step 4: Simplify right side
    29,810.64x = 403,979,375.87
  5. Step 5: Solve for x
    x = 403,979,375.87/29,810.64
  6. Step 6: Final answer
    x = 13,551.52

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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.