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Finding the Fourth Proportional to 100,383.76, 138,530.28 and 55,674.64

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Solution

The fourth proportional to 100,383.76, 138,530.28 and 55,674.64 is: 76,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,383.76 : 138,530.28 = 55,674.64 : x
  2. Step 2: Convert to fraction form
    100,383.76/138,530.28 = 55,674.64/x
  3. Step 3: Cross multiply
    100,383.76x = 138,530.28 × 55,674.64
  4. Step 4: Simplify right side
    100,383.76x = 7,712,623,468.10
  5. Step 5: Solve for x
    x = 7,712,623,468.10/100,383.76
  6. Step 6: Final answer
    x = 76,831.39

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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.