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Finding the Fourth Proportional to 53,103.82, 73,283.10 and 29,230.51

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Solution

The fourth proportional to 53,103.82, 73,283.10 and 29,230.51 is: 40,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103.82 : 73,283.10 = 29,230.51 : x
  2. Step 2: Convert to fraction form
    53,103.82/73,283.10 = 29,230.51/x
  3. Step 3: Cross multiply
    53,103.82x = 73,283.10 × 29,230.51
  4. Step 4: Simplify right side
    53,103.82x = 2,142,102,387.38
  5. Step 5: Solve for x
    x = 2,142,102,387.38/53,103.82
  6. Step 6: Final answer
    x = 40,338.01

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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.