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Finding the Fourth Proportional to 83,173, 114,778.60 and 47,363.02

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Solution

The fourth proportional to 83,173, 114,778.60 and 47,363.02 is: 65,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,173 : 114,778.60 = 47,363.02 : x
  2. Step 2: Convert to fraction form
    83,173/114,778.60 = 47,363.02/x
  3. Step 3: Cross multiply
    83,173x = 114,778.60 × 47,363.02
  4. Step 4: Simplify right side
    83,173x = 5,436,261,127.37
  5. Step 5: Solve for x
    x = 5,436,261,127.37/83,173
  6. Step 6: Final answer
    x = 65,360.89

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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.