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Finding the Fourth Proportional to 35,842.08, 49,468.18 and 20,744

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Solution

The fourth proportional to 35,842.08, 49,468.18 and 20,744 is: 28,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.08 : 49,468.18 = 20,744 : x
  2. Step 2: Convert to fraction form
    35,842.08/49,468.18 = 20,744/x
  3. Step 3: Cross multiply
    35,842.08x = 49,468.18 × 20,744
  4. Step 4: Simplify right side
    35,842.08x = 1,026,167,925.92
  5. Step 5: Solve for x
    x = 1,026,167,925.92/35,842.08
  6. Step 6: Final answer
    x = 28,630.26

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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.