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Finding the Fourth Proportional to 32,202.64, 44,332.14 and 27,708.16

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Solution

The fourth proportional to 32,202.64, 44,332.14 and 27,708.16 is: 38,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.64 : 44,332.14 = 27,708.16 : x
  2. Step 2: Convert to fraction form
    32,202.64/44,332.14 = 27,708.16/x
  3. Step 3: Cross multiply
    32,202.64x = 44,332.14 × 27,708.16
  4. Step 4: Simplify right side
    32,202.64x = 1,228,362,028.26
  5. Step 5: Solve for x
    x = 1,228,362,028.26/32,202.64
  6. Step 6: Final answer
    x = 38,144.76

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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.