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Finding the Fourth Proportional to 35,693.75, 49,259.34 and 19,777.86

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Solution

The fourth proportional to 35,693.75, 49,259.34 and 19,777.86 is: 27,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,693.75 : 49,259.34 = 19,777.86 : x
  2. Step 2: Convert to fraction form
    35,693.75/49,259.34 = 19,777.86/x
  3. Step 3: Cross multiply
    35,693.75x = 49,259.34 × 19,777.86
  4. Step 4: Simplify right side
    35,693.75x = 974,244,083.92
  5. Step 5: Solve for x
    x = 974,244,083.92/35,693.75
  6. Step 6: Final answer
    x = 27,294.53

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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.