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Finding the Fourth Proportional to 94,016, 129,745.92 and 54,272

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Solution

The fourth proportional to 94,016, 129,745.92 and 54,272 is: 74,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,016 : 129,745.92 = 54,272 : x
  2. Step 2: Convert to fraction form
    94,016/129,745.92 = 54,272/x
  3. Step 3: Cross multiply
    94,016x = 129,745.92 × 54,272
  4. Step 4: Simplify right side
    94,016x = 7,041,570,570.24
  5. Step 5: Solve for x
    x = 7,041,570,570.24/94,016
  6. Step 6: Final answer
    x = 74,897.58

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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.