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Finding the Fourth Proportional to 85,716.20, 128,592.66 and 43,602.14

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Solution

The fourth proportional to 85,716.20, 128,592.66 and 43,602.14 is: 65,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,716.20 : 128,592.66 = 43,602.14 : x
  2. Step 2: Convert to fraction form
    85,716.20/128,592.66 = 43,602.14/x
  3. Step 3: Cross multiply
    85,716.20x = 128,592.66 × 43,602.14
  4. Step 4: Simplify right side
    85,716.20x = 5,606,915,164.29
  5. Step 5: Solve for x
    x = 5,606,915,164.29/85,716.20
  6. Step 6: Final answer
    x = 65,412.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.