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Finding the Fourth Proportional to 82,876.83, 114,383.74 and 48,893.63

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Solution

The fourth proportional to 82,876.83, 114,383.74 and 48,893.63 is: 67,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,876.83 : 114,383.74 = 48,893.63 : x
  2. Step 2: Convert to fraction form
    82,876.83/114,383.74 = 48,893.63/x
  3. Step 3: Cross multiply
    82,876.83x = 114,383.74 × 48,893.63
  4. Step 4: Simplify right side
    82,876.83x = 5,592,636,547.54
  5. Step 5: Solve for x
    x = 5,592,636,547.54/82,876.83
  6. Step 6: Final answer
    x = 67,481.31

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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.