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Finding the Fourth Proportional to 97,908.71, 135,113.55 and 55,467.14

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Solution

The fourth proportional to 97,908.71, 135,113.55 and 55,467.14 is: 76,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,908.71 : 135,113.55 = 55,467.14 : x
  2. Step 2: Convert to fraction form
    97,908.71/135,113.55 = 55,467.14/x
  3. Step 3: Cross multiply
    97,908.71x = 135,113.55 × 55,467.14
  4. Step 4: Simplify right side
    97,908.71x = 7,494,362,193.75
  5. Step 5: Solve for x
    x = 7,494,362,193.75/97,908.71
  6. Step 6: Final answer
    x = 76,544.39

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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.