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Finding the Fourth Proportional to 99,696.63, 137,577.55 and 54,984.63

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Solution

The fourth proportional to 99,696.63, 137,577.55 and 54,984.63 is: 75,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696.63 : 137,577.55 = 54,984.63 : x
  2. Step 2: Convert to fraction form
    99,696.63/137,577.55 = 54,984.63/x
  3. Step 3: Cross multiply
    99,696.63x = 137,577.55 × 54,984.63
  4. Step 4: Simplify right side
    99,696.63x = 7,564,650,683.06
  5. Step 5: Solve for x
    x = 7,564,650,683.06/99,696.63
  6. Step 6: Final answer
    x = 75,876.69

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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.