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Finding the Fourth Proportional to 35,927.86, 49,580.46 and 20,829.31

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Solution

The fourth proportional to 35,927.86, 49,580.46 and 20,829.31 is: 28,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,927.86 : 49,580.46 = 20,829.31 : x
  2. Step 2: Convert to fraction form
    35,927.86/49,580.46 = 20,829.31/x
  3. Step 3: Cross multiply
    35,927.86x = 49,580.46 × 20,829.31
  4. Step 4: Simplify right side
    35,927.86x = 1,032,726,419.23
  5. Step 5: Solve for x
    x = 1,032,726,419.23/35,927.86
  6. Step 6: Final answer
    x = 28,744.45

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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.