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Finding the Fourth Proportional to 84,624.72, 116,776.80 and 46,896

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Solution

The fourth proportional to 84,624.72, 116,776.80 and 46,896 is: 64,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624.72 : 116,776.80 = 46,896 : x
  2. Step 2: Convert to fraction form
    84,624.72/116,776.80 = 46,896/x
  3. Step 3: Cross multiply
    84,624.72x = 116,776.80 × 46,896
  4. Step 4: Simplify right side
    84,624.72x = 5,476,364,812.80
  5. Step 5: Solve for x
    x = 5,476,364,812.80/84,624.72
  6. Step 6: Final answer
    x = 64,713.54

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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.