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Finding the Fourth Proportional to 55,002, 75,922.44 and 32,646

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Solution

The fourth proportional to 55,002, 75,922.44 and 32,646 is: 45,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,002 : 75,922.44 = 32,646 : x
  2. Step 2: Convert to fraction form
    55,002/75,922.44 = 32,646/x
  3. Step 3: Cross multiply
    55,002x = 75,922.44 × 32,646
  4. Step 4: Simplify right side
    55,002x = 2,478,563,976.24
  5. Step 5: Solve for x
    x = 2,478,563,976.24/55,002
  6. Step 6: Final answer
    x = 45,063.16

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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.