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Finding the Fourth Proportional to 83,538.84, 115,283.60 and 45,813.09

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Solution

The fourth proportional to 83,538.84, 115,283.60 and 45,813.09 is: 63,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538.84 : 115,283.60 = 45,813.09 : x
  2. Step 2: Convert to fraction form
    83,538.84/115,283.60 = 45,813.09/x
  3. Step 3: Cross multiply
    83,538.84x = 115,283.60 × 45,813.09
  4. Step 4: Simplify right side
    83,538.84x = 5,281,498,575.07
  5. Step 5: Solve for x
    x = 5,281,498,575.07/83,538.84
  6. Step 6: Final answer
    x = 63,222.07

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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.