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Finding the Fourth Proportional to 53,197.10, 73,412.49 and 29,324.63

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Solution

The fourth proportional to 53,197.10, 73,412.49 and 29,324.63 is: 40,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,197.10 : 73,412.49 = 29,324.63 : x
  2. Step 2: Convert to fraction form
    53,197.10/73,412.49 = 29,324.63/x
  3. Step 3: Cross multiply
    53,197.10x = 73,412.49 × 29,324.63
  4. Step 4: Simplify right side
    53,197.10x = 2,152,793,592.94
  5. Step 5: Solve for x
    x = 2,152,793,592.94/53,197.10
  6. Step 6: Final answer
    x = 40,468.25

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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.