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Finding the Fourth Proportional to 51,633.78, 77,458.41 and 22,051.50

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Solution

The fourth proportional to 51,633.78, 77,458.41 and 22,051.50 is: 33,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,633.78 : 77,458.41 = 22,051.50 : x
  2. Step 2: Convert to fraction form
    51,633.78/77,458.41 = 22,051.50/x
  3. Step 3: Cross multiply
    51,633.78x = 77,458.41 × 22,051.50
  4. Step 4: Simplify right side
    51,633.78x = 1,708,074,128.12
  5. Step 5: Solve for x
    x = 1,708,074,128.12/51,633.78
  6. Step 6: Final answer
    x = 33,080.56

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