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Finding the Fourth Proportional to 53,680.80, 74,090 and 34,287.24

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Solution

The fourth proportional to 53,680.80, 74,090 and 34,287.24 is: 47,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,680.80 : 74,090 = 34,287.24 : x
  2. Step 2: Convert to fraction form
    53,680.80/74,090 = 34,287.24/x
  3. Step 3: Cross multiply
    53,680.80x = 74,090 × 34,287.24
  4. Step 4: Simplify right side
    53,680.80x = 2,540,341,611.60
  5. Step 5: Solve for x
    x = 2,540,341,611.60/53,680.80
  6. Step 6: Final answer
    x = 47,323.10

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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.