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Finding the Fourth Proportional to 55,347.36, 76,380 and 30,197.28

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Solution

The fourth proportional to 55,347.36, 76,380 and 30,197.28 is: 41,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,347.36 : 76,380 = 30,197.28 : x
  2. Step 2: Convert to fraction form
    55,347.36/76,380 = 30,197.28/x
  3. Step 3: Cross multiply
    55,347.36x = 76,380 × 30,197.28
  4. Step 4: Simplify right side
    55,347.36x = 2,306,468,246.40
  5. Step 5: Solve for x
    x = 2,306,468,246.40/55,347.36
  6. Step 6: Final answer
    x = 41,672.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.