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Finding the Fourth Proportional to 43,546, 65,319.32 and 10,714

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Solution

The fourth proportional to 43,546, 65,319.32 and 10,714 is: 16,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,546 : 65,319.32 = 10,714 : x
  2. Step 2: Convert to fraction form
    43,546/65,319.32 = 10,714/x
  3. Step 3: Cross multiply
    43,546x = 65,319.32 × 10,714
  4. Step 4: Simplify right side
    43,546x = 699,831,194.48
  5. Step 5: Solve for x
    x = 699,831,194.48/43,546
  6. Step 6: Final answer
    x = 16,071.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.