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Finding the Fourth Proportional to 84,213.56, 116,214.75 and 46,487.81

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Solution

The fourth proportional to 84,213.56, 116,214.75 and 46,487.81 is: 64,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213.56 : 116,214.75 = 46,487.81 : x
  2. Step 2: Convert to fraction form
    84,213.56/116,214.75 = 46,487.81/x
  3. Step 3: Cross multiply
    84,213.56x = 116,214.75 × 46,487.81
  4. Step 4: Simplify right side
    84,213.56x = 5,402,569,507.73
  5. Step 5: Solve for x
    x = 5,402,569,507.73/84,213.56
  6. Step 6: Final answer
    x = 64,153.20

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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.