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Finding the Fourth Proportional to 53,193.84, 73,402.20 and 31,679.32

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Solution

The fourth proportional to 53,193.84, 73,402.20 and 31,679.32 is: 43,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,193.84 : 73,402.20 = 31,679.32 : x
  2. Step 2: Convert to fraction form
    53,193.84/73,402.20 = 31,679.32/x
  3. Step 3: Cross multiply
    53,193.84x = 73,402.20 × 31,679.32
  4. Step 4: Simplify right side
    53,193.84x = 2,325,331,782.50
  5. Step 5: Solve for x
    x = 2,325,331,782.50/53,193.84
  6. Step 6: Final answer
    x = 43,714.31

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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.