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Finding the Fourth Proportional to 57,404.48, 86,111.64 and 15,851.48

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Solution

The fourth proportional to 57,404.48, 86,111.64 and 15,851.48 is: 23,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,404.48 : 86,111.64 = 15,851.48 : x
  2. Step 2: Convert to fraction form
    57,404.48/86,111.64 = 15,851.48/x
  3. Step 3: Cross multiply
    57,404.48x = 86,111.64 × 15,851.48
  4. Step 4: Simplify right side
    57,404.48x = 1,364,996,939.23
  5. Step 5: Solve for x
    x = 1,364,996,939.23/57,404.48
  6. Step 6: Final answer
    x = 23,778.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.