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Finding the Fourth Proportional to 82,451.85, 113,784.84 and 48,461.33

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Solution

The fourth proportional to 82,451.85, 113,784.84 and 48,461.33 is: 66,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,451.85 : 113,784.84 = 48,461.33 : x
  2. Step 2: Convert to fraction form
    82,451.85/113,784.84 = 48,461.33/x
  3. Step 3: Cross multiply
    82,451.85x = 113,784.84 × 48,461.33
  4. Step 4: Simplify right side
    82,451.85x = 5,514,164,111.31
  5. Step 5: Solve for x
    x = 5,514,164,111.31/82,451.85
  6. Step 6: Final answer
    x = 66,877.38

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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.