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Finding the Fourth Proportional to 30,493.77, 42,158.43 and 22,523.37

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Solution

The fourth proportional to 30,493.77, 42,158.43 and 22,523.37 is: 31,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.77 : 42,158.43 = 22,523.37 : x
  2. Step 2: Convert to fraction form
    30,493.77/42,158.43 = 22,523.37/x
  3. Step 3: Cross multiply
    30,493.77x = 42,158.43 × 22,523.37
  4. Step 4: Simplify right side
    30,493.77x = 949,549,917.51
  5. Step 5: Solve for x
    x = 949,549,917.51/30,493.77
  6. Step 6: Final answer
    x = 31,139.14

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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.