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Finding the Fourth Proportional to 84,761, 116,973.82 and 47,035.26

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Solution

The fourth proportional to 84,761, 116,973.82 and 47,035.26 is: 64,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,761 : 116,973.82 = 47,035.26 : x
  2. Step 2: Convert to fraction form
    84,761/116,973.82 = 47,035.26/x
  3. Step 3: Cross multiply
    84,761x = 116,973.82 × 47,035.26
  4. Step 4: Simplify right side
    84,761x = 5,501,894,036.89
  5. Step 5: Solve for x
    x = 5,501,894,036.89/84,761
  6. Step 6: Final answer
    x = 64,910.68

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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.