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Finding the Fourth Proportional to 29,301.32, 43,951.66 and 7,114.68

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Solution

The fourth proportional to 29,301.32, 43,951.66 and 7,114.68 is: 10,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301.32 : 43,951.66 = 7,114.68 : x
  2. Step 2: Convert to fraction form
    29,301.32/43,951.66 = 7,114.68/x
  3. Step 3: Cross multiply
    29,301.32x = 43,951.66 × 7,114.68
  4. Step 4: Simplify right side
    29,301.32x = 312,701,978.58
  5. Step 5: Solve for x
    x = 312,701,978.58/29,301.32
  6. Step 6: Final answer
    x = 10,671.94

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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.