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Finding the Fourth Proportional to 102,959.84, 142,083.42 and 57,637.10

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Solution

The fourth proportional to 102,959.84, 142,083.42 and 57,637.10 is: 79,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.84 : 142,083.42 = 57,637.10 : x
  2. Step 2: Convert to fraction form
    102,959.84/142,083.42 = 57,637.10/x
  3. Step 3: Cross multiply
    102,959.84x = 142,083.42 × 57,637.10
  4. Step 4: Simplify right side
    102,959.84x = 8,189,276,286.88
  5. Step 5: Solve for x
    x = 8,189,276,286.88/102,959.84
  6. Step 6: Final answer
    x = 79,538.55

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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.