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Finding the Fourth Proportional to 53,458.68, 73,771.92 and 29,583.96

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Solution

The fourth proportional to 53,458.68, 73,771.92 and 29,583.96 is: 40,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,458.68 : 73,771.92 = 29,583.96 : x
  2. Step 2: Convert to fraction form
    53,458.68/73,771.92 = 29,583.96/x
  3. Step 3: Cross multiply
    53,458.68x = 73,771.92 × 29,583.96
  4. Step 4: Simplify right side
    53,458.68x = 2,182,465,530.40
  5. Step 5: Solve for x
    x = 2,182,465,530.40/53,458.68
  6. Step 6: Final answer
    x = 40,825.28

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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.