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Finding the Fourth Proportional to 47,903.76, 66,107.12 and 27,772.32

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Solution

The fourth proportional to 47,903.76, 66,107.12 and 27,772.32 is: 38,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,903.76 : 66,107.12 = 27,772.32 : x
  2. Step 2: Convert to fraction form
    47,903.76/66,107.12 = 27,772.32/x
  3. Step 3: Cross multiply
    47,903.76x = 66,107.12 × 27,772.32
  4. Step 4: Simplify right side
    47,903.76x = 1,835,948,090.92
  5. Step 5: Solve for x
    x = 1,835,948,090.92/47,903.76
  6. Step 6: Final answer
    x = 38,325.76

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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.