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Finding the Fourth Proportional to 47,846.88, 66,032.28 and 27,709.20

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Solution

The fourth proportional to 47,846.88, 66,032.28 and 27,709.20 is: 38,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846.88 : 66,032.28 = 27,709.20 : x
  2. Step 2: Convert to fraction form
    47,846.88/66,032.28 = 27,709.20/x
  3. Step 3: Cross multiply
    47,846.88x = 66,032.28 × 27,709.20
  4. Step 4: Simplify right side
    47,846.88x = 1,829,701,652.98
  5. Step 5: Solve for x
    x = 1,829,701,652.98/47,846.88
  6. Step 6: Final answer
    x = 38,240.77

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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.