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Finding the Fourth Proportional to 53,104.90, 73,284.80 and 29,231.97

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Solution

The fourth proportional to 53,104.90, 73,284.80 and 29,231.97 is: 40,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,104.90 : 73,284.80 = 29,231.97 : x
  2. Step 2: Convert to fraction form
    53,104.90/73,284.80 = 29,231.97/x
  3. Step 3: Cross multiply
    53,104.90x = 73,284.80 × 29,231.97
  4. Step 4: Simplify right side
    53,104.90x = 2,142,259,075.06
  5. Step 5: Solve for x
    x = 2,142,259,075.06/53,104.90
  6. Step 6: Final answer
    x = 40,340.14

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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.