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Finding the Fourth Proportional to 30,460.50, 42,040.35 and 17,882.82

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Solution

The fourth proportional to 30,460.50, 42,040.35 and 17,882.82 is: 24,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.50 : 42,040.35 = 17,882.82 : x
  2. Step 2: Convert to fraction form
    30,460.50/42,040.35 = 17,882.82/x
  3. Step 3: Cross multiply
    30,460.50x = 42,040.35 × 17,882.82
  4. Step 4: Simplify right side
    30,460.50x = 751,800,011.79
  5. Step 5: Solve for x
    x = 751,800,011.79/30,460.50
  6. Step 6: Final answer
    x = 24,681.14

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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.