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Finding the Fourth Proportional to 99,963.26, 137,953.01 and 54,644.32

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Solution

The fourth proportional to 99,963.26, 137,953.01 and 54,644.32 is: 75,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,963.26 : 137,953.01 = 54,644.32 : x
  2. Step 2: Convert to fraction form
    99,963.26/137,953.01 = 54,644.32/x
  3. Step 3: Cross multiply
    99,963.26x = 137,953.01 × 54,644.32
  4. Step 4: Simplify right side
    99,963.26x = 7,538,347,460.42
  5. Step 5: Solve for x
    x = 7,538,347,460.42/99,963.26
  6. Step 6: Final answer
    x = 75,411.18

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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.