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Finding the Fourth Proportional to 67,877.64, 101,650.28 and 47,837.88

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Solution

The fourth proportional to 67,877.64, 101,650.28 and 47,837.88 is: 71,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,877.64 : 101,650.28 = 47,837.88 : x
  2. Step 2: Convert to fraction form
    67,877.64/101,650.28 = 47,837.88/x
  3. Step 3: Cross multiply
    67,877.64x = 101,650.28 × 47,837.88
  4. Step 4: Simplify right side
    67,877.64x = 4,862,733,388.36
  5. Step 5: Solve for x
    x = 4,862,733,388.36/67,877.64
  6. Step 6: Final answer
    x = 71,639.70

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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.