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Finding the Fourth Proportional to 30,780.36, 42,471.54 and 18,200.52

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Solution

The fourth proportional to 30,780.36, 42,471.54 and 18,200.52 is: 25,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.36 : 42,471.54 = 18,200.52 : x
  2. Step 2: Convert to fraction form
    30,780.36/42,471.54 = 18,200.52/x
  3. Step 3: Cross multiply
    30,780.36x = 42,471.54 × 18,200.52
  4. Step 4: Simplify right side
    30,780.36x = 773,004,113.20
  5. Step 5: Solve for x
    x = 773,004,113.20/30,780.36
  6. Step 6: Final answer
    x = 25,113.55

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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.