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Finding the Fourth Proportional to 51,135.69, 70,548.52 and 30,978.03

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Solution

The fourth proportional to 51,135.69, 70,548.52 and 30,978.03 is: 42,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135.69 : 70,548.52 = 30,978.03 : x
  2. Step 2: Convert to fraction form
    51,135.69/70,548.52 = 30,978.03/x
  3. Step 3: Cross multiply
    51,135.69x = 70,548.52 × 30,978.03
  4. Step 4: Simplify right side
    51,135.69x = 2,185,454,169.02
  5. Step 5: Solve for x
    x = 2,185,454,169.02/51,135.69
  6. Step 6: Final answer
    x = 42,738.33

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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.