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Finding the Fourth Proportional to 83,453.30, 115,165.07 and 45,213.60

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Solution

The fourth proportional to 83,453.30, 115,165.07 and 45,213.60 is: 62,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,453.30 : 115,165.07 = 45,213.60 : x
  2. Step 2: Convert to fraction form
    83,453.30/115,165.07 = 45,213.60/x
  3. Step 3: Cross multiply
    83,453.30x = 115,165.07 × 45,213.60
  4. Step 4: Simplify right side
    83,453.30x = 5,207,028,038.63
  5. Step 5: Solve for x
    x = 5,207,028,038.63/83,453.30
  6. Step 6: Final answer
    x = 62,394.51

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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.