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Finding the Fourth Proportional to 55,071, 76,004.46 and 32,715

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Solution

The fourth proportional to 55,071, 76,004.46 and 32,715 is: 45,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,071 : 76,004.46 = 32,715 : x
  2. Step 2: Convert to fraction form
    55,071/76,004.46 = 32,715/x
  3. Step 3: Cross multiply
    55,071x = 76,004.46 × 32,715
  4. Step 4: Simplify right side
    55,071x = 2,486,485,908.90
  5. Step 5: Solve for x
    x = 2,486,485,908.90/55,071
  6. Step 6: Final answer
    x = 45,150.55

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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.