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Finding the Fourth Proportional to 83,961, 115,866.34 and 46,238.76

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Solution

The fourth proportional to 83,961, 115,866.34 and 46,238.76 is: 63,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,961 : 115,866.34 = 46,238.76 : x
  2. Step 2: Convert to fraction form
    83,961/115,866.34 = 46,238.76/x
  3. Step 3: Cross multiply
    83,961x = 115,866.34 × 46,238.76
  4. Step 4: Simplify right side
    83,961x = 5,357,515,887.34
  5. Step 5: Solve for x
    x = 5,357,515,887.34/83,961
  6. Step 6: Final answer
    x = 63,809.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.