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Finding the Fourth Proportional to 53,755.76, 74,172.12 and 31,395.44

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Solution

The fourth proportional to 53,755.76, 74,172.12 and 31,395.44 is: 43,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,755.76 : 74,172.12 = 31,395.44 : x
  2. Step 2: Convert to fraction form
    53,755.76/74,172.12 = 31,395.44/x
  3. Step 3: Cross multiply
    53,755.76x = 74,172.12 × 31,395.44
  4. Step 4: Simplify right side
    53,755.76x = 2,328,666,343.13
  5. Step 5: Solve for x
    x = 2,328,666,343.13/53,755.76
  6. Step 6: Final answer
    x = 43,319.38

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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.