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Finding the Fourth Proportional to 30,761.21, 45,973.24 and 22,458.71

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Solution

The fourth proportional to 30,761.21, 45,973.24 and 22,458.71 is: 33,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.21 : 45,973.24 = 22,458.71 : x
  2. Step 2: Convert to fraction form
    30,761.21/45,973.24 = 22,458.71/x
  3. Step 3: Cross multiply
    30,761.21x = 45,973.24 × 22,458.71
  4. Step 4: Simplify right side
    30,761.21x = 1,032,499,681.60
  5. Step 5: Solve for x
    x = 1,032,499,681.60/30,761.21
  6. Step 6: Final answer
    x = 33,564.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.