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Finding the Fourth Proportional to 53,070, 73,231.80 and 29,197.68

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Solution

The fourth proportional to 53,070, 73,231.80 and 29,197.68 is: 40,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,070 : 73,231.80 = 29,197.68 : x
  2. Step 2: Convert to fraction form
    53,070/73,231.80 = 29,197.68/x
  3. Step 3: Cross multiply
    53,070x = 73,231.80 × 29,197.68
  4. Step 4: Simplify right side
    53,070x = 2,138,198,662.22
  5. Step 5: Solve for x
    x = 2,138,198,662.22/53,070
  6. Step 6: Final answer
    x = 40,290.16

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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.