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Finding the Fourth Proportional to 49,835.50, 74,753.52 and 12,899.50

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Solution

The fourth proportional to 49,835.50, 74,753.52 and 12,899.50 is: 19,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,835.50 : 74,753.52 = 12,899.50 : x
  2. Step 2: Convert to fraction form
    49,835.50/74,753.52 = 12,899.50/x
  3. Step 3: Cross multiply
    49,835.50x = 74,753.52 × 12,899.50
  4. Step 4: Simplify right side
    49,835.50x = 964,283,031.24
  5. Step 5: Solve for x
    x = 964,283,031.24/49,835.50
  6. Step 6: Final answer
    x = 19,349.32

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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.