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Finding the Fourth Proportional to 29,830.68, 44,741.16 and 9,054.18

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Solution

The fourth proportional to 29,830.68, 44,741.16 and 9,054.18 is: 13,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.68 : 44,741.16 = 9,054.18 : x
  2. Step 2: Convert to fraction form
    29,830.68/44,741.16 = 9,054.18/x
  3. Step 3: Cross multiply
    29,830.68x = 44,741.16 × 9,054.18
  4. Step 4: Simplify right side
    29,830.68x = 405,094,516.05
  5. Step 5: Solve for x
    x = 405,094,516.05/29,830.68
  6. Step 6: Final answer
    x = 13,579.79

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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.