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Finding the Fourth Proportional to 83,083.40, 114,657.02 and 45,357.92

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Solution

The fourth proportional to 83,083.40, 114,657.02 and 45,357.92 is: 62,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083.40 : 114,657.02 = 45,357.92 : x
  2. Step 2: Convert to fraction form
    83,083.40/114,657.02 = 45,357.92/x
  3. Step 3: Cross multiply
    83,083.40x = 114,657.02 × 45,357.92
  4. Step 4: Simplify right side
    83,083.40x = 5,200,603,940.60
  5. Step 5: Solve for x
    x = 5,200,603,940.60/83,083.40
  6. Step 6: Final answer
    x = 62,594.98

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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.