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Finding the Fourth Proportional to 53,102.74, 73,283.25 and 29,230.90

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Solution

The fourth proportional to 53,102.74, 73,283.25 and 29,230.90 is: 40,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102.74 : 73,283.25 = 29,230.90 : x
  2. Step 2: Convert to fraction form
    53,102.74/73,283.25 = 29,230.90/x
  3. Step 3: Cross multiply
    53,102.74x = 73,283.25 × 29,230.90
  4. Step 4: Simplify right side
    53,102.74x = 2,142,135,352.43
  5. Step 5: Solve for x
    x = 2,142,135,352.43/53,102.74
  6. Step 6: Final answer
    x = 40,339.45

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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.