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Finding the Fourth Proportional to 83,163.42, 114,763.02 and 45,437.64

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Solution

The fourth proportional to 83,163.42, 114,763.02 and 45,437.64 is: 62,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163.42 : 114,763.02 = 45,437.64 : x
  2. Step 2: Convert to fraction form
    83,163.42/114,763.02 = 45,437.64/x
  3. Step 3: Cross multiply
    83,163.42x = 114,763.02 × 45,437.64
  4. Step 4: Simplify right side
    83,163.42x = 5,214,560,788.07
  5. Step 5: Solve for x
    x = 5,214,560,788.07/83,163.42
  6. Step 6: Final answer
    x = 62,702.58

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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.