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Finding the Fourth Proportional to 30,959.20, 42,730.50 and 20,349.82

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Solution

The fourth proportional to 30,959.20, 42,730.50 and 20,349.82 is: 28,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.20 : 42,730.50 = 20,349.82 : x
  2. Step 2: Convert to fraction form
    30,959.20/42,730.50 = 20,349.82/x
  3. Step 3: Cross multiply
    30,959.20x = 42,730.50 × 20,349.82
  4. Step 4: Simplify right side
    30,959.20x = 869,557,983.51
  5. Step 5: Solve for x
    x = 869,557,983.51/30,959.20
  6. Step 6: Final answer
    x = 28,087.22

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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.