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Finding the Fourth Proportional to 100,039.60, 138,066.56 and 57,606.40

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Solution

The fourth proportional to 100,039.60, 138,066.56 and 57,606.40 is: 79,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.60 : 138,066.56 = 57,606.40 : x
  2. Step 2: Convert to fraction form
    100,039.60/138,066.56 = 57,606.40/x
  3. Step 3: Cross multiply
    100,039.60x = 138,066.56 × 57,606.40
  4. Step 4: Simplify right side
    100,039.60x = 7,953,517,481.98
  5. Step 5: Solve for x
    x = 7,953,517,481.98/100,039.60
  6. Step 6: Final answer
    x = 79,503.69

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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.