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Finding the Fourth Proportional to 42,164.88, 63,247.20 and 12,582

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Solution

The fourth proportional to 42,164.88, 63,247.20 and 12,582 is: 18,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,164.88 : 63,247.20 = 12,582 : x
  2. Step 2: Convert to fraction form
    42,164.88/63,247.20 = 12,582/x
  3. Step 3: Cross multiply
    42,164.88x = 63,247.20 × 12,582
  4. Step 4: Simplify right side
    42,164.88x = 795,776,270.40
  5. Step 5: Solve for x
    x = 795,776,270.40/42,164.88
  6. Step 6: Final answer
    x = 18,872.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.