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Finding the Fourth Proportional to 99,546.84, 137,369.88 and 54,224.60

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Solution

The fourth proportional to 99,546.84, 137,369.88 and 54,224.60 is: 74,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546.84 : 137,369.88 = 54,224.60 : x
  2. Step 2: Convert to fraction form
    99,546.84/137,369.88 = 54,224.60/x
  3. Step 3: Cross multiply
    99,546.84x = 137,369.88 × 54,224.60
  4. Step 4: Simplify right side
    99,546.84x = 7,448,826,108.20
  5. Step 5: Solve for x
    x = 7,448,826,108.20/99,546.84
  6. Step 6: Final answer
    x = 74,827.35

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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.