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Finding the Fourth Proportional to 105,563.67, 145,677.86 and 57,817.14

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Solution

The fourth proportional to 105,563.67, 145,677.86 and 57,817.14 is: 79,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,563.67 : 145,677.86 = 57,817.14 : x
  2. Step 2: Convert to fraction form
    105,563.67/145,677.86 = 57,817.14/x
  3. Step 3: Cross multiply
    105,563.67x = 145,677.86 × 57,817.14
  4. Step 4: Simplify right side
    105,563.67x = 8,422,676,937.43
  5. Step 5: Solve for x
    x = 8,422,676,937.43/105,563.67
  6. Step 6: Final answer
    x = 79,787.65

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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.