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Finding the Fourth Proportional to 73,704, 101,714.32 and 40,170

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Solution

The fourth proportional to 73,704, 101,714.32 and 40,170 is: 55,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,704 : 101,714.32 = 40,170 : x
  2. Step 2: Convert to fraction form
    73,704/101,714.32 = 40,170/x
  3. Step 3: Cross multiply
    73,704x = 101,714.32 × 40,170
  4. Step 4: Simplify right side
    73,704x = 4,085,864,234.40
  5. Step 5: Solve for x
    x = 4,085,864,234.40/73,704
  6. Step 6: Final answer
    x = 55,436.13

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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.