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Finding the Fourth Proportional to 30,625.33, 45,938 and 8,438.93

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Solution

The fourth proportional to 30,625.33, 45,938 and 8,438.93 is: 12,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.33 : 45,938 = 8,438.93 : x
  2. Step 2: Convert to fraction form
    30,625.33/45,938 = 8,438.93/x
  3. Step 3: Cross multiply
    30,625.33x = 45,938 × 8,438.93
  4. Step 4: Simplify right side
    30,625.33x = 387,667,566.34
  5. Step 5: Solve for x
    x = 387,667,566.34/30,625.33
  6. Step 6: Final answer
    x = 12,658.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.