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Finding the Fourth Proportional to 84,765.48, 116,972.42 and 47,039.40

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Solution

The fourth proportional to 84,765.48, 116,972.42 and 47,039.40 is: 64,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,765.48 : 116,972.42 = 47,039.40 : x
  2. Step 2: Convert to fraction form
    84,765.48/116,972.42 = 47,039.40/x
  3. Step 3: Cross multiply
    84,765.48x = 116,972.42 × 47,039.40
  4. Step 4: Simplify right side
    84,765.48x = 5,502,312,453.35
  5. Step 5: Solve for x
    x = 5,502,312,453.35/84,765.48
  6. Step 6: Final answer
    x = 64,912.18

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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.