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Finding the Fourth Proportional to 53,629.16, 74,019 and 30,971.84

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Solution

The fourth proportional to 53,629.16, 74,019 and 30,971.84 is: 42,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,629.16 : 74,019 = 30,971.84 : x
  2. Step 2: Convert to fraction form
    53,629.16/74,019 = 30,971.84/x
  3. Step 3: Cross multiply
    53,629.16x = 74,019 × 30,971.84
  4. Step 4: Simplify right side
    53,629.16x = 2,292,504,624.96
  5. Step 5: Solve for x
    x = 2,292,504,624.96/53,629.16
  6. Step 6: Final answer
    x = 42,747.35

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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.