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Finding the Fourth Proportional to 32,201.64, 44,330.76 and 27,707.16

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Solution

The fourth proportional to 32,201.64, 44,330.76 and 27,707.16 is: 38,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.64 : 44,330.76 = 27,707.16 : x
  2. Step 2: Convert to fraction form
    32,201.64/44,330.76 = 27,707.16/x
  3. Step 3: Cross multiply
    32,201.64x = 44,330.76 × 27,707.16
  4. Step 4: Simplify right side
    32,201.64x = 1,228,279,460.24
  5. Step 5: Solve for x
    x = 1,228,279,460.24/32,201.64
  6. Step 6: Final answer
    x = 38,143.38

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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.