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Finding the Fourth Proportional to 30,965.88, 42,708.06 and 20,351.64

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Solution

The fourth proportional to 30,965.88, 42,708.06 and 20,351.64 is: 28,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.88 : 42,708.06 = 20,351.64 : x
  2. Step 2: Convert to fraction form
    30,965.88/42,708.06 = 20,351.64/x
  3. Step 3: Cross multiply
    30,965.88x = 42,708.06 × 20,351.64
  4. Step 4: Simplify right side
    30,965.88x = 869,179,062.22
  5. Step 5: Solve for x
    x = 869,179,062.22/30,965.88
  6. Step 6: Final answer
    x = 28,068.93

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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.