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Finding the Fourth Proportional to 31,168.58, 42,984.15 and 24,363.50

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Solution

The fourth proportional to 31,168.58, 42,984.15 and 24,363.50 is: 33,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,168.58 : 42,984.15 = 24,363.50 : x
  2. Step 2: Convert to fraction form
    31,168.58/42,984.15 = 24,363.50/x
  3. Step 3: Cross multiply
    31,168.58x = 42,984.15 × 24,363.50
  4. Step 4: Simplify right side
    31,168.58x = 1,047,244,338.53
  5. Step 5: Solve for x
    x = 1,047,244,338.53/31,168.58
  6. Step 6: Final answer
    x = 33,599.36

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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.