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Finding the Fourth Proportional to 84,134.16, 116,105.76 and 46,409.76

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Solution

The fourth proportional to 84,134.16, 116,105.76 and 46,409.76 is: 64,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134.16 : 116,105.76 = 46,409.76 : x
  2. Step 2: Convert to fraction form
    84,134.16/116,105.76 = 46,409.76/x
  3. Step 3: Cross multiply
    84,134.16x = 116,105.76 × 46,409.76
  4. Step 4: Simplify right side
    84,134.16x = 5,388,440,456.22
  5. Step 5: Solve for x
    x = 5,388,440,456.22/84,134.16
  6. Step 6: Final answer
    x = 64,045.81

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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.