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Finding the Fourth Proportional to 30,813.90, 42,512.63 and 25,138.76

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Solution

The fourth proportional to 30,813.90, 42,512.63 and 25,138.76 is: 34,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.90 : 42,512.63 = 25,138.76 : x
  2. Step 2: Convert to fraction form
    30,813.90/42,512.63 = 25,138.76/x
  3. Step 3: Cross multiply
    30,813.90x = 42,512.63 × 25,138.76
  4. Step 4: Simplify right side
    30,813.90x = 1,068,714,802.54
  5. Step 5: Solve for x
    x = 1,068,714,802.54/30,813.90
  6. Step 6: Final answer
    x = 34,682.88

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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.