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Finding the Fourth Proportional to 84,624.94, 116,780.43 and 46,898.38

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Solution

The fourth proportional to 84,624.94, 116,780.43 and 46,898.38 is: 64,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624.94 : 116,780.43 = 46,898.38 : x
  2. Step 2: Convert to fraction form
    84,624.94/116,780.43 = 46,898.38/x
  3. Step 3: Cross multiply
    84,624.94x = 116,780.43 × 46,898.38
  4. Step 4: Simplify right side
    84,624.94x = 5,476,812,982.70
  5. Step 5: Solve for x
    x = 5,476,812,982.70/84,624.94
  6. Step 6: Final answer
    x = 64,718.66

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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.