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Finding the Fourth Proportional to 35,294.08, 48,706.40 and 19,380

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Solution

The fourth proportional to 35,294.08, 48,706.40 and 19,380 is: 26,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,294.08 : 48,706.40 = 19,380 : x
  2. Step 2: Convert to fraction form
    35,294.08/48,706.40 = 19,380/x
  3. Step 3: Cross multiply
    35,294.08x = 48,706.40 × 19,380
  4. Step 4: Simplify right side
    35,294.08x = 943,930,032
  5. Step 5: Solve for x
    x = 943,930,032/35,294.08
  6. Step 6: Final answer
    x = 26,744.71

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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.