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Finding the Fourth Proportional to 29,333.12, 43,999.62 and 7,146.50

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Solution

The fourth proportional to 29,333.12, 43,999.62 and 7,146.50 is: 10,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,333.12 : 43,999.62 = 7,146.50 : x
  2. Step 2: Convert to fraction form
    29,333.12/43,999.62 = 7,146.50/x
  3. Step 3: Cross multiply
    29,333.12x = 43,999.62 × 7,146.50
  4. Step 4: Simplify right side
    29,333.12x = 314,443,284.33
  5. Step 5: Solve for x
    x = 314,443,284.33/29,333.12
  6. Step 6: Final answer
    x = 10,719.74

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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.