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Finding the Fourth Proportional to 97,367, 134,367.47 and 54,350.53

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Solution

The fourth proportional to 97,367, 134,367.47 and 54,350.53 is: 75,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,367 : 134,367.47 = 54,350.53 : x
  2. Step 2: Convert to fraction form
    97,367/134,367.47 = 54,350.53/x
  3. Step 3: Cross multiply
    97,367x = 134,367.47 × 54,350.53
  4. Step 4: Simplify right side
    97,367x = 7,302,943,209.26
  5. Step 5: Solve for x
    x = 7,302,943,209.26/97,367
  6. Step 6: Final answer
    x = 75,004.30

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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.