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Finding the Fourth Proportional to 105,638.66, 145,781.34 and 57,893.10

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Solution

The fourth proportional to 105,638.66, 145,781.34 and 57,893.10 is: 79,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,638.66 : 145,781.34 = 57,893.10 : x
  2. Step 2: Convert to fraction form
    105,638.66/145,781.34 = 57,893.10/x
  3. Step 3: Cross multiply
    105,638.66x = 145,781.34 × 57,893.10
  4. Step 4: Simplify right side
    105,638.66x = 8,439,733,694.75
  5. Step 5: Solve for x
    x = 8,439,733,694.75/105,638.66
  6. Step 6: Final answer
    x = 79,892.47

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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.