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Finding the Fourth Proportional to 97,672.81, 134,789.29 and 52,960.81

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Solution

The fourth proportional to 97,672.81, 134,789.29 and 52,960.81 is: 73,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672.81 : 134,789.29 = 52,960.81 : x
  2. Step 2: Convert to fraction form
    97,672.81/134,789.29 = 52,960.81/x
  3. Step 3: Cross multiply
    97,672.81x = 134,789.29 × 52,960.81
  4. Step 4: Simplify right side
    97,672.81x = 7,138,549,977.72
  5. Step 5: Solve for x
    x = 7,138,549,977.72/97,672.81
  6. Step 6: Final answer
    x = 73,086.36

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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.