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Finding the Fourth Proportional to 83,257.20, 114,887.16 and 47,455.20

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Solution

The fourth proportional to 83,257.20, 114,887.16 and 47,455.20 is: 65,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,257.20 : 114,887.16 = 47,455.20 : x
  2. Step 2: Convert to fraction form
    83,257.20/114,887.16 = 47,455.20/x
  3. Step 3: Cross multiply
    83,257.20x = 114,887.16 × 47,455.20
  4. Step 4: Simplify right side
    83,257.20x = 5,451,993,155.23
  5. Step 5: Solve for x
    x = 5,451,993,155.23/83,257.20
  6. Step 6: Final answer
    x = 65,483.74

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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.