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Finding the Fourth Proportional to 81,876.96, 112,982.16 and 46,066.16

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Solution

The fourth proportional to 81,876.96, 112,982.16 and 46,066.16 is: 63,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876.96 : 112,982.16 = 46,066.16 : x
  2. Step 2: Convert to fraction form
    81,876.96/112,982.16 = 46,066.16/x
  3. Step 3: Cross multiply
    81,876.96x = 112,982.16 × 46,066.16
  4. Step 4: Simplify right side
    81,876.96x = 5,204,654,259.71
  5. Step 5: Solve for x
    x = 5,204,654,259.71/81,876.96
  6. Step 6: Final answer
    x = 63,566.77

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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.