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Finding the Fourth Proportional to 53,539.12, 73,884.12 and 29,665.60

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Solution

The fourth proportional to 53,539.12, 73,884.12 and 29,665.60 is: 40,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,539.12 : 73,884.12 = 29,665.60 : x
  2. Step 2: Convert to fraction form
    53,539.12/73,884.12 = 29,665.60/x
  3. Step 3: Cross multiply
    53,539.12x = 73,884.12 × 29,665.60
  4. Step 4: Simplify right side
    53,539.12x = 2,191,816,750.27
  5. Step 5: Solve for x
    x = 2,191,816,750.27/53,539.12
  6. Step 6: Final answer
    x = 40,938.60

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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.