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Finding the Fourth Proportional to 84,102.96, 116,062.32 and 46,377.36

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Solution

The fourth proportional to 84,102.96, 116,062.32 and 46,377.36 is: 64,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102.96 : 116,062.32 = 46,377.36 : x
  2. Step 2: Convert to fraction form
    84,102.96/116,062.32 = 46,377.36/x
  3. Step 3: Cross multiply
    84,102.96x = 116,062.32 × 46,377.36
  4. Step 4: Simplify right side
    84,102.96x = 5,382,663,997.08
  5. Step 5: Solve for x
    x = 5,382,663,997.08/84,102.96
  6. Step 6: Final answer
    x = 64,000.89

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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.