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Finding the Fourth Proportional to 53,322.77, 73,584.02 and 29,448.93

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Solution

The fourth proportional to 53,322.77, 73,584.02 and 29,448.93 is: 40,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,322.77 : 73,584.02 = 29,448.93 : x
  2. Step 2: Convert to fraction form
    53,322.77/73,584.02 = 29,448.93/x
  3. Step 3: Cross multiply
    53,322.77x = 73,584.02 × 29,448.93
  4. Step 4: Simplify right side
    53,322.77x = 2,166,970,764.44
  5. Step 5: Solve for x
    x = 2,166,970,764.44/53,322.77
  6. Step 6: Final answer
    x = 40,638.75

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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.