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Finding the Fourth Proportional to 35,743.68, 49,320.72 and 20,430

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Solution

The fourth proportional to 35,743.68, 49,320.72 and 20,430 is: 28,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.68 : 49,320.72 = 20,430 : x
  2. Step 2: Convert to fraction form
    35,743.68/49,320.72 = 20,430/x
  3. Step 3: Cross multiply
    35,743.68x = 49,320.72 × 20,430
  4. Step 4: Simplify right side
    35,743.68x = 1,007,622,309.60
  5. Step 5: Solve for x
    x = 1,007,622,309.60/35,743.68
  6. Step 6: Final answer
    x = 28,190.22

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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.