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Finding the Fourth Proportional to 53,792.25, 74,233.32 and 31,436.25

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Solution

The fourth proportional to 53,792.25, 74,233.32 and 31,436.25 is: 43,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,792.25 : 74,233.32 = 31,436.25 : x
  2. Step 2: Convert to fraction form
    53,792.25/74,233.32 = 31,436.25/x
  3. Step 3: Cross multiply
    53,792.25x = 74,233.32 × 31,436.25
  4. Step 4: Simplify right side
    53,792.25x = 2,333,617,205.85
  5. Step 5: Solve for x
    x = 2,333,617,205.85/53,792.25
  6. Step 6: Final answer
    x = 43,382.03

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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.