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Finding the Fourth Proportional to 99,619.50, 137,474.02 and 54,297.48

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Solution

The fourth proportional to 99,619.50, 137,474.02 and 54,297.48 is: 74,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,619.50 : 137,474.02 = 54,297.48 : x
  2. Step 2: Convert to fraction form
    99,619.50/137,474.02 = 54,297.48/x
  3. Step 3: Cross multiply
    99,619.50x = 137,474.02 × 54,297.48
  4. Step 4: Simplify right side
    99,619.50x = 7,464,492,851.47
  5. Step 5: Solve for x
    x = 7,464,492,851.47/99,619.50
  6. Step 6: Final answer
    x = 74,930.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.