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Finding the Fourth Proportional to 84,463.84, 116,560.92 and 46,738

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Solution

The fourth proportional to 84,463.84, 116,560.92 and 46,738 is: 64,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,463.84 : 116,560.92 = 46,738 : x
  2. Step 2: Convert to fraction form
    84,463.84/116,560.92 = 46,738/x
  3. Step 3: Cross multiply
    84,463.84x = 116,560.92 × 46,738
  4. Step 4: Simplify right side
    84,463.84x = 5,447,824,278.96
  5. Step 5: Solve for x
    x = 5,447,824,278.96/84,463.84
  6. Step 6: Final answer
    x = 64,498.89

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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.