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Finding the Fourth Proportional to 83,438.40, 115,145.16 and 45,712.56

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Solution

The fourth proportional to 83,438.40, 115,145.16 and 45,712.56 is: 63,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,438.40 : 115,145.16 = 45,712.56 : x
  2. Step 2: Convert to fraction form
    83,438.40/115,145.16 = 45,712.56/x
  3. Step 3: Cross multiply
    83,438.40x = 115,145.16 × 45,712.56
  4. Step 4: Simplify right side
    83,438.40x = 5,263,580,035.21
  5. Step 5: Solve for x
    x = 5,263,580,035.21/83,438.40
  6. Step 6: Final answer
    x = 63,083.42

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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.