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Finding the Fourth Proportional to 31,401.84, 43,282.50 and 30,570.84

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Solution

The fourth proportional to 31,401.84, 43,282.50 and 30,570.84 is: 42,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401.84 : 43,282.50 = 30,570.84 : x
  2. Step 2: Convert to fraction form
    31,401.84/43,282.50 = 30,570.84/x
  3. Step 3: Cross multiply
    31,401.84x = 43,282.50 × 30,570.84
  4. Step 4: Simplify right side
    31,401.84x = 1,323,182,382.30
  5. Step 5: Solve for x
    x = 1,323,182,382.30/31,401.84
  6. Step 6: Final answer
    x = 42,137.10

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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.