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Finding the Fourth Proportional to 83,044, 114,601.98 and 45,318.34

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Solution

The fourth proportional to 83,044, 114,601.98 and 45,318.34 is: 62,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044 : 114,601.98 = 45,318.34 : x
  2. Step 2: Convert to fraction form
    83,044/114,601.98 = 45,318.34/x
  3. Step 3: Cross multiply
    83,044x = 114,601.98 × 45,318.34
  4. Step 4: Simplify right side
    83,044x = 5,193,571,494.31
  5. Step 5: Solve for x
    x = 5,193,571,494.31/83,044
  6. Step 6: Final answer
    x = 62,540.00

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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.