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Finding the Fourth Proportional to 54,830.52, 75,667.77 and 34,408.80

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Solution

The fourth proportional to 54,830.52, 75,667.77 and 34,408.80 is: 47,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830.52 : 75,667.77 = 34,408.80 : x
  2. Step 2: Convert to fraction form
    54,830.52/75,667.77 = 34,408.80/x
  3. Step 3: Cross multiply
    54,830.52x = 75,667.77 × 34,408.80
  4. Step 4: Simplify right side
    54,830.52x = 2,603,637,164.38
  5. Step 5: Solve for x
    x = 2,603,637,164.38/54,830.52
  6. Step 6: Final answer
    x = 47,485.18

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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.