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Finding the Fourth Proportional to 53,821.76, 74,276.16 and 29,949.44

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Solution

The fourth proportional to 53,821.76, 74,276.16 and 29,949.44 is: 41,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,821.76 : 74,276.16 = 29,949.44 : x
  2. Step 2: Convert to fraction form
    53,821.76/74,276.16 = 29,949.44/x
  3. Step 3: Cross multiply
    53,821.76x = 74,276.16 × 29,949.44
  4. Step 4: Simplify right side
    53,821.76x = 2,224,529,397.35
  5. Step 5: Solve for x
    x = 2,224,529,397.35/53,821.76
  6. Step 6: Final answer
    x = 41,331.41

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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.