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Finding the Fourth Proportional to 47,833.60, 66,000.32 and 27,689.28

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Solution

The fourth proportional to 47,833.60, 66,000.32 and 27,689.28 is: 38,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,833.60 : 66,000.32 = 27,689.28 : x
  2. Step 2: Convert to fraction form
    47,833.60/66,000.32 = 27,689.28/x
  3. Step 3: Cross multiply
    47,833.60x = 66,000.32 × 27,689.28
  4. Step 4: Simplify right side
    47,833.60x = 1,827,501,340.57
  5. Step 5: Solve for x
    x = 1,827,501,340.57/47,833.60
  6. Step 6: Final answer
    x = 38,205.39

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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.