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Finding the Fourth Proportional to 97,338.54, 134,319.14 and 54,907.50

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Solution

The fourth proportional to 97,338.54, 134,319.14 and 54,907.50 is: 75,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,338.54 : 134,319.14 = 54,907.50 : x
  2. Step 2: Convert to fraction form
    97,338.54/134,319.14 = 54,907.50/x
  3. Step 3: Cross multiply
    97,338.54x = 134,319.14 × 54,907.50
  4. Step 4: Simplify right side
    97,338.54x = 7,375,128,179.55
  5. Step 5: Solve for x
    x = 7,375,128,179.55/97,338.54
  6. Step 6: Final answer
    x = 75,767.81

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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.