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Finding the Fourth Proportional to 82,974.63, 114,471.54 and 48,026.29

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Solution

The fourth proportional to 82,974.63, 114,471.54 and 48,026.29 is: 66,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,974.63 : 114,471.54 = 48,026.29 : x
  2. Step 2: Convert to fraction form
    82,974.63/114,471.54 = 48,026.29/x
  3. Step 3: Cross multiply
    82,974.63x = 114,471.54 × 48,026.29
  4. Step 4: Simplify right side
    82,974.63x = 5,497,643,376.79
  5. Step 5: Solve for x
    x = 5,497,643,376.79/82,974.63
  6. Step 6: Final answer
    x = 66,256.92

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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.