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Finding the Fourth Proportional to 30,894.14, 42,638.45 and 19,564.67

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Solution

The fourth proportional to 30,894.14, 42,638.45 and 19,564.67 is: 27,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.14 : 42,638.45 = 19,564.67 : x
  2. Step 2: Convert to fraction form
    30,894.14/42,638.45 = 19,564.67/x
  3. Step 3: Cross multiply
    30,894.14x = 42,638.45 × 19,564.67
  4. Step 4: Simplify right side
    30,894.14x = 834,206,892.55
  5. Step 5: Solve for x
    x = 834,206,892.55/30,894.14
  6. Step 6: Final answer
    x = 27,002.11

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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.