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Finding the Fourth Proportional to 53,322, 73,590.86 and 30,966

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Solution

The fourth proportional to 53,322, 73,590.86 and 30,966 is: 42,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,322 : 73,590.86 = 30,966 : x
  2. Step 2: Convert to fraction form
    53,322/73,590.86 = 30,966/x
  3. Step 3: Cross multiply
    53,322x = 73,590.86 × 30,966
  4. Step 4: Simplify right side
    53,322x = 2,278,814,570.76
  5. Step 5: Solve for x
    x = 2,278,814,570.76/53,322
  6. Step 6: Final answer
    x = 42,736.85

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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.