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Finding the Fourth Proportional to 84,431, 116,516.04 and 46,705.16

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Solution

The fourth proportional to 84,431, 116,516.04 and 46,705.16 is: 64,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,431 : 116,516.04 = 46,705.16 : x
  2. Step 2: Convert to fraction form
    84,431/116,516.04 = 46,705.16/x
  3. Step 3: Cross multiply
    84,431x = 116,516.04 × 46,705.16
  4. Step 4: Simplify right side
    84,431x = 5,441,900,290.77
  5. Step 5: Solve for x
    x = 5,441,900,290.77/84,431
  6. Step 6: Final answer
    x = 64,453.82

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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.