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Finding the Fourth Proportional to 53,968.50, 74,476.54 and 31,612.50

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Solution

The fourth proportional to 53,968.50, 74,476.54 and 31,612.50 is: 43,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968.50 : 74,476.54 = 31,612.50 : x
  2. Step 2: Convert to fraction form
    53,968.50/74,476.54 = 31,612.50/x
  3. Step 3: Cross multiply
    53,968.50x = 74,476.54 × 31,612.50
  4. Step 4: Simplify right side
    53,968.50x = 2,354,389,620.75
  5. Step 5: Solve for x
    x = 2,354,389,620.75/53,968.50
  6. Step 6: Final answer
    x = 43,625.26

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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.