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Finding the Fourth Proportional to 84,560.48, 116,694.32 and 51,020

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Solution

The fourth proportional to 84,560.48, 116,694.32 and 51,020 is: 70,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,560.48 : 116,694.32 = 51,020 : x
  2. Step 2: Convert to fraction form
    84,560.48/116,694.32 = 51,020/x
  3. Step 3: Cross multiply
    84,560.48x = 116,694.32 × 51,020
  4. Step 4: Simplify right side
    84,560.48x = 5,953,744,206.40
  5. Step 5: Solve for x
    x = 5,953,744,206.40/84,560.48
  6. Step 6: Final answer
    x = 70,408.12

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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.