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Finding the Fourth Proportional to 53,480.25, 73,802.75 and 31,124.25

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Solution

The fourth proportional to 53,480.25, 73,802.75 and 31,124.25 is: 42,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480.25 : 73,802.75 = 31,124.25 : x
  2. Step 2: Convert to fraction form
    53,480.25/73,802.75 = 31,124.25/x
  3. Step 3: Cross multiply
    53,480.25x = 73,802.75 × 31,124.25
  4. Step 4: Simplify right side
    53,480.25x = 2,297,055,086.07
  5. Step 5: Solve for x
    x = 2,297,055,086.07/53,480.25
  6. Step 6: Final answer
    x = 42,951.47

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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.