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Finding the Fourth Proportional to 46,842.59, 64,624.61 and 29,843.79

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Solution

The fourth proportional to 46,842.59, 64,624.61 and 29,843.79 is: 41,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,842.59 : 64,624.61 = 29,843.79 : x
  2. Step 2: Convert to fraction form
    46,842.59/64,624.61 = 29,843.79/x
  3. Step 3: Cross multiply
    46,842.59x = 64,624.61 × 29,843.79
  4. Step 4: Simplify right side
    46,842.59x = 1,928,643,121.94
  5. Step 5: Solve for x
    x = 1,928,643,121.94/46,842.59
  6. Step 6: Final answer
    x = 41,172.86

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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.