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Finding the Fourth Proportional to 30,452.77, 42,023.09 and 16,840.01

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Solution

The fourth proportional to 30,452.77, 42,023.09 and 16,840.01 is: 23,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.77 : 42,023.09 = 16,840.01 : x
  2. Step 2: Convert to fraction form
    30,452.77/42,023.09 = 16,840.01/x
  3. Step 3: Cross multiply
    30,452.77x = 42,023.09 × 16,840.01
  4. Step 4: Simplify right side
    30,452.77x = 707,669,402.99
  5. Step 5: Solve for x
    x = 707,669,402.99/30,452.77
  6. Step 6: Final answer
    x = 23,238.26

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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.