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Finding the Fourth Proportional to 99,513.96, 149,322.80 and 44,097

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Solution

The fourth proportional to 99,513.96, 149,322.80 and 44,097 is: 66,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513.96 : 149,322.80 = 44,097 : x
  2. Step 2: Convert to fraction form
    99,513.96/149,322.80 = 44,097/x
  3. Step 3: Cross multiply
    99,513.96x = 149,322.80 × 44,097
  4. Step 4: Simplify right side
    99,513.96x = 6,584,687,511.60
  5. Step 5: Solve for x
    x = 6,584,687,511.60/99,513.96
  6. Step 6: Final answer
    x = 66,168.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.