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Finding the Fourth Proportional to 100,407.36, 138,564.72 and 55,087.28

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Solution

The fourth proportional to 100,407.36, 138,564.72 and 55,087.28 is: 76,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407.36 : 138,564.72 = 55,087.28 : x
  2. Step 2: Convert to fraction form
    100,407.36/138,564.72 = 55,087.28/x
  3. Step 3: Cross multiply
    100,407.36x = 138,564.72 × 55,087.28
  4. Step 4: Simplify right side
    100,407.36x = 7,633,153,528.76
  5. Step 5: Solve for x
    x = 7,633,153,528.76/100,407.36
  6. Step 6: Final answer
    x = 76,021.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.