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Finding the Fourth Proportional to 53,301.53, 73,556.27 and 29,428

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Solution

The fourth proportional to 53,301.53, 73,556.27 and 29,428 is: 40,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,301.53 : 73,556.27 = 29,428 : x
  2. Step 2: Convert to fraction form
    53,301.53/73,556.27 = 29,428/x
  3. Step 3: Cross multiply
    53,301.53x = 73,556.27 × 29,428
  4. Step 4: Simplify right side
    53,301.53x = 2,164,613,913.56
  5. Step 5: Solve for x
    x = 2,164,613,913.56/53,301.53
  6. Step 6: Final answer
    x = 40,610.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.