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Finding the Fourth Proportional to 67,564.52, 101,342.64 and 20,179.76

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Solution

The fourth proportional to 67,564.52, 101,342.64 and 20,179.76 is: 30,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,564.52 : 101,342.64 = 20,179.76 : x
  2. Step 2: Convert to fraction form
    67,564.52/101,342.64 = 20,179.76/x
  3. Step 3: Cross multiply
    67,564.52x = 101,342.64 × 20,179.76
  4. Step 4: Simplify right side
    67,564.52x = 2,045,070,152.97
  5. Step 5: Solve for x
    x = 2,045,070,152.97/67,564.52
  6. Step 6: Final answer
    x = 30,268.40

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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.