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Finding the Fourth Proportional to 29,242.42, 43,863.26 and 7,055.62

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Solution

The fourth proportional to 29,242.42, 43,863.26 and 7,055.62 is: 10,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,242.42 : 43,863.26 = 7,055.62 : x
  2. Step 2: Convert to fraction form
    29,242.42/43,863.26 = 7,055.62/x
  3. Step 3: Cross multiply
    29,242.42x = 43,863.26 × 7,055.62
  4. Step 4: Simplify right side
    29,242.42x = 309,482,349.58
  5. Step 5: Solve for x
    x = 309,482,349.58/29,242.42
  6. Step 6: Final answer
    x = 10,583.34

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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.