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Finding the Fourth Proportional to 53,801.34, 74,242.56 and 31,138.68

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Solution

The fourth proportional to 53,801.34, 74,242.56 and 31,138.68 is: 42,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,801.34 : 74,242.56 = 31,138.68 : x
  2. Step 2: Convert to fraction form
    53,801.34/74,242.56 = 31,138.68/x
  3. Step 3: Cross multiply
    53,801.34x = 74,242.56 × 31,138.68
  4. Step 4: Simplify right side
    53,801.34x = 2,311,815,318.22
  5. Step 5: Solve for x
    x = 2,311,815,318.22/53,801.34
  6. Step 6: Final answer
    x = 42,969.47

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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.