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Finding the Fourth Proportional to 82,927, 114,440.94 and 45,201.28

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Solution

The fourth proportional to 82,927, 114,440.94 and 45,201.28 is: 62,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,927 : 114,440.94 = 45,201.28 : x
  2. Step 2: Convert to fraction form
    82,927/114,440.94 = 45,201.28/x
  3. Step 3: Cross multiply
    82,927x = 114,440.94 × 45,201.28
  4. Step 4: Simplify right side
    82,927x = 5,172,876,972.40
  5. Step 5: Solve for x
    x = 5,172,876,972.40/82,927
  6. Step 6: Final answer
    x = 62,378.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.