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Finding the Fourth Proportional to 67,797.64, 101,697.96 and 47,725.12

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Solution

The fourth proportional to 67,797.64, 101,697.96 and 47,725.12 is: 71,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,797.64 : 101,697.96 = 47,725.12 : x
  2. Step 2: Convert to fraction form
    67,797.64/101,697.96 = 47,725.12/x
  3. Step 3: Cross multiply
    67,797.64x = 101,697.96 × 47,725.12
  4. Step 4: Simplify right side
    67,797.64x = 4,853,547,344.76
  5. Step 5: Solve for x
    x = 4,853,547,344.76/67,797.64
  6. Step 6: Final answer
    x = 71,588.74

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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.