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Finding the Fourth Proportional to 53,212.78, 73,428.01 and 29,338.03

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Solution

The fourth proportional to 53,212.78, 73,428.01 and 29,338.03 is: 40,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,212.78 : 73,428.01 = 29,338.03 : x
  2. Step 2: Convert to fraction form
    53,212.78/73,428.01 = 29,338.03/x
  3. Step 3: Cross multiply
    53,212.78x = 73,428.01 × 29,338.03
  4. Step 4: Simplify right side
    53,212.78x = 2,154,233,160.22
  5. Step 5: Solve for x
    x = 2,154,233,160.22/53,212.78
  6. Step 6: Final answer
    x = 40,483.38

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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.