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Finding the Fourth Proportional to 53,194.80, 79,792.20 and 31,033.20

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Solution

The fourth proportional to 53,194.80, 79,792.20 and 31,033.20 is: 46,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,194.80 : 79,792.20 = 31,033.20 : x
  2. Step 2: Convert to fraction form
    53,194.80/79,792.20 = 31,033.20/x
  3. Step 3: Cross multiply
    53,194.80x = 79,792.20 × 31,033.20
  4. Step 4: Simplify right side
    53,194.80x = 2,476,207,301.04
  5. Step 5: Solve for x
    x = 2,476,207,301.04/53,194.80
  6. Step 6: Final answer
    x = 46,549.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.