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Finding the Fourth Proportional to 83,050, 114,610.64 and 45,324.24

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Solution

The fourth proportional to 83,050, 114,610.64 and 45,324.24 is: 62,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,050 : 114,610.64 = 45,324.24 : x
  2. Step 2: Convert to fraction form
    83,050/114,610.64 = 45,324.24/x
  3. Step 3: Cross multiply
    83,050x = 114,610.64 × 45,324.24
  4. Step 4: Simplify right side
    83,050x = 5,194,640,153.91
  5. Step 5: Solve for x
    x = 5,194,640,153.91/83,050
  6. Step 6: Final answer
    x = 62,548.35

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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.