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Finding the Fourth Proportional to 45,783, 68,986.47 and 37,645.31

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Solution

The fourth proportional to 45,783, 68,986.47 and 37,645.31 is: 56,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,783 : 68,986.47 = 37,645.31 : x
  2. Step 2: Convert to fraction form
    45,783/68,986.47 = 37,645.31/x
  3. Step 3: Cross multiply
    45,783x = 68,986.47 × 37,645.31
  4. Step 4: Simplify right side
    45,783x = 2,597,017,150.84
  5. Step 5: Solve for x
    x = 2,597,017,150.84/45,783
  6. Step 6: Final answer
    x = 56,724.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.