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Finding the Fourth Proportional to 78,233.04, 107,933.30 and 51,390

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Solution

The fourth proportional to 78,233.04, 107,933.30 and 51,390 is: 70,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,233.04 : 107,933.30 = 51,390 : x
  2. Step 2: Convert to fraction form
    78,233.04/107,933.30 = 51,390/x
  3. Step 3: Cross multiply
    78,233.04x = 107,933.30 × 51,390
  4. Step 4: Simplify right side
    78,233.04x = 5,546,692,287
  5. Step 5: Solve for x
    x = 5,546,692,287/78,233.04
  6. Step 6: Final answer
    x = 70,899.61

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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.