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Finding the Fourth Proportional to 52,829.97, 72,901.65 and 30,170.22

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Solution

The fourth proportional to 52,829.97, 72,901.65 and 30,170.22 is: 41,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829.97 : 72,901.65 = 30,170.22 : x
  2. Step 2: Convert to fraction form
    52,829.97/72,901.65 = 30,170.22/x
  3. Step 3: Cross multiply
    52,829.97x = 72,901.65 × 30,170.22
  4. Step 4: Simplify right side
    52,829.97x = 2,199,458,818.86
  5. Step 5: Solve for x
    x = 2,199,458,818.86/52,829.97
  6. Step 6: Final answer
    x = 41,632.79

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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.