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Finding the Fourth Proportional to 30,811.88, 42,519.12 and 19,487.54

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Solution

The fourth proportional to 30,811.88, 42,519.12 and 19,487.54 is: 26,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.88 : 42,519.12 = 19,487.54 : x
  2. Step 2: Convert to fraction form
    30,811.88/42,519.12 = 19,487.54/x
  3. Step 3: Cross multiply
    30,811.88x = 42,519.12 × 19,487.54
  4. Step 4: Simplify right side
    30,811.88x = 828,593,051.76
  5. Step 5: Solve for x
    x = 828,593,051.76/30,811.88
  6. Step 6: Final answer
    x = 26,892.00

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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.