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Finding the Fourth Proportional to 53,321.94, 73,584.05 and 29,448.50

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Solution

The fourth proportional to 53,321.94, 73,584.05 and 29,448.50 is: 40,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,321.94 : 73,584.05 = 29,448.50 : x
  2. Step 2: Convert to fraction form
    53,321.94/73,584.05 = 29,448.50/x
  3. Step 3: Cross multiply
    53,321.94x = 73,584.05 × 29,448.50
  4. Step 4: Simplify right side
    53,321.94x = 2,166,939,381.26
  5. Step 5: Solve for x
    x = 2,166,939,381.26/53,321.94
  6. Step 6: Final answer
    x = 40,638.79

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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.