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Finding the Fourth Proportional to 57,393.50, 86,099.13 and 29,298.32

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Solution

The fourth proportional to 57,393.50, 86,099.13 and 29,298.32 is: 43,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393.50 : 86,099.13 = 29,298.32 : x
  2. Step 2: Convert to fraction form
    57,393.50/86,099.13 = 29,298.32/x
  3. Step 3: Cross multiply
    57,393.50x = 86,099.13 × 29,298.32
  4. Step 4: Simplify right side
    57,393.50x = 2,522,559,431.97
  5. Step 5: Solve for x
    x = 2,522,559,431.97/57,393.50
  6. Step 6: Final answer
    x = 43,952.00

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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.