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Finding the Fourth Proportional to 84,431.76, 116,505.36 and 46,705.92

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Solution

The fourth proportional to 84,431.76, 116,505.36 and 46,705.92 is: 64,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,431.76 : 116,505.36 = 46,705.92 : x
  2. Step 2: Convert to fraction form
    84,431.76/116,505.36 = 46,705.92/x
  3. Step 3: Cross multiply
    84,431.76x = 116,505.36 × 46,705.92
  4. Step 4: Simplify right side
    84,431.76x = 5,441,490,023.73
  5. Step 5: Solve for x
    x = 5,441,490,023.73/84,431.76
  6. Step 6: Final answer
    x = 64,448.38

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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.