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Finding the Fourth Proportional to 30,542.58, 42,148.77 and 18,605.92

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Solution

The fourth proportional to 30,542.58, 42,148.77 and 18,605.92 is: 25,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.58 : 42,148.77 = 18,605.92 : x
  2. Step 2: Convert to fraction form
    30,542.58/42,148.77 = 18,605.92/x
  3. Step 3: Cross multiply
    30,542.58x = 42,148.77 × 18,605.92
  4. Step 4: Simplify right side
    30,542.58x = 784,216,424.39
  5. Step 5: Solve for x
    x = 784,216,424.39/30,542.58
  6. Step 6: Final answer
    x = 25,676.17

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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.