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Finding the Fourth Proportional to 83,230.40, 114,858.24 and 45,505.28

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Solution

The fourth proportional to 83,230.40, 114,858.24 and 45,505.28 is: 62,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230.40 : 114,858.24 = 45,505.28 : x
  2. Step 2: Convert to fraction form
    83,230.40/114,858.24 = 45,505.28/x
  3. Step 3: Cross multiply
    83,230.40x = 114,858.24 × 45,505.28
  4. Step 4: Simplify right side
    83,230.40x = 5,226,656,371.51
  5. Step 5: Solve for x
    x = 5,226,656,371.51/83,230.40
  6. Step 6: Final answer
    x = 62,797.44

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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.