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Finding the Fourth Proportional to 47,773.16, 65,928.32 and 27,628.12

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Solution

The fourth proportional to 47,773.16, 65,928.32 and 27,628.12 is: 38,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773.16 : 65,928.32 = 27,628.12 : x
  2. Step 2: Convert to fraction form
    47,773.16/65,928.32 = 27,628.12/x
  3. Step 3: Cross multiply
    47,773.16x = 65,928.32 × 27,628.12
  4. Step 4: Simplify right side
    47,773.16x = 1,821,475,536.36
  5. Step 5: Solve for x
    x = 1,821,475,536.36/47,773.16
  6. Step 6: Final answer
    x = 38,127.59

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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.