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Finding the Fourth Proportional to 105,667.02, 145,825.38 and 57,924

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Solution

The fourth proportional to 105,667.02, 145,825.38 and 57,924 is: 79,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,667.02 : 145,825.38 = 57,924 : x
  2. Step 2: Convert to fraction form
    105,667.02/145,825.38 = 57,924/x
  3. Step 3: Cross multiply
    105,667.02x = 145,825.38 × 57,924
  4. Step 4: Simplify right side
    105,667.02x = 8,446,789,311.12
  5. Step 5: Solve for x
    x = 8,446,789,311.12/105,667.02
  6. Step 6: Final answer
    x = 79,937.80

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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.